I live in Alaska, so frigid temps are nothing new to me, tho’ note that such temps occur in other places. Bundle up is the best advice, which translates to layers. A warm, cozy hat on the head will help hold in heat should the temps get that drastic. Gloves are always recommended but make it hard to function, I know. I use what are called wristies, which are essentially socks for the fingers but fingerless. You could sacrifice an old pair of socks, cut off the foot part, and use the upper part the same way to keep your lower arm, wrist, and the palms of your hand warm. Tuck in your fingers at times if necessary.
The advice above about preparing your house was good. Nudge up the thermostat a degree or two. I’ve found that tho’ I’m perfectly comfy inside much of the time at 68/69 degrees, when it’s cold outside I need more. My home is largely kept at 70/71 here, tho’ if I’m cold, thermostat goes up another notch or so. Yes, it’s expensive, but getting sick from the cold can be, too.
Open the doors under cabinets attached to sinks to let the heat get to the pipes better. Leave a trickle of water running. I used to go with the drippity drip but was told the trickle keeps the flow going better, hence less likelihood of freezing. I’m on a private well, so, yes, using water needlessly is a concern but, well, it’s a lower priority than the cost of frozen pipes will be. Do NOT run hot water. As I’ve learned here in AK, hot water freezes faster than cold, or so they tell me. Kind of counter to my expectations but having seen them toss boiling water into the air in freezing temps and see it turn to icy crystals/steam instantly, I’m a believer. there is a science to all this one can look up but I tend to listen to those who have been around long enough to know how things work, even if they don’t necessarily know the science behind them.
Do you have pets? Please, please bring them inside if possible. Many of our AK husky dogs have coats that keep them perfectly comfy in temps that have me shivering but most dogs don’t have that sorta natural fur coat. Provide them with blankets or covering of some sort if the heat goes off, too. They need water and food, too, just as you do. I’m sure you know the ol’ basics of not opening the freezer/fridge if the power goes off, so have some foods for all involved that can be stored atop a cabinet or whatever and easily reached without opening the fridge. A supply of water would be handy, too, of course.
I could go on and on but you should be getting the drift by now. Stay inside if possible. Keep animals (and car) inside if possible and use common sense. You’ll be okay.