"Follow the sun" rotations are a common way to handle 24h oncall rotations. Three regular shifts (8 hours of work plus some lunch break that gives you time for a short overlap at the beginning/end of the shift) during that region's local daytime hours, in three different regions with time zones roughly 8 hours apart.

That way nobody has to work nights and you still get 24/7 coverage.

You have to get management to get over themselves and the stupid office policy to make it happen though. Synchronous collaboration isn't all it's cracked up to be.