Drywall in the cold

I will be putting the final pieces of drywall up in the addition in
the next day or so and will be ready to mud. Question is, how cold can
it get? Heat during application is not an issue. I have a torpedo
heater which keeps it nice and toasty while I'm in there working,
however, there is no permanent heat until the floor goes down. I don't
really like the idea of running that heater all night long but I'm
concerned about letting the temps go too low that it will affect the
finished product. Can I leave the heat on until the mud dries and then
shut it off until the next day? I am in a cold climate and the outside
temp lately is mid teens at night so the addition goes below 32
degrees at night.