792741261312 has 2340 divisors, whose sum is σ = 3366098395968. Its totient is φ = 183936614400.

The previous prime is 792741261289. The next prime is 792741261379. The reversal of 792741261312 is 213162147297.

792741261312 is a `hidden beast` number, since 7 + 9 + 2 + 7 + 4 + 12 + 613 + 12 = 666.

It is a super-2 number, since 2×792741261312² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25572298737 + ... + 25572298767.

Almost surely, 2^792741261312 is an apocalyptic number.

792741261312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792741261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683049197984).

792741261312 is an abundant number, since it is smaller than the sum of its proper divisors (2573357134656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

792741261312 is a wasteful number, since it uses less digits than its factorization.

792741261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 792741261312 in words is "seven hundred ninety-two billion, seven hundred forty-one million, two hundred sixty-one thousand, three hundred twelve".