791331130368 has 220 divisors, whose sum is σ = 2370745037232. Its totient is φ = 262920314880.

The previous prime is 791331130351. The next prime is 791331130379. The reversal of 791331130368 is 863031133197.

791331130368 is a `hidden beast` number, since 7 + 9 + 1 + 331 + 1 + 303 + 6 + 8 = 666.

It is a super-2 number, since 2×791331130368² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25780246 + ... + 25810922.

Almost surely, 2^791331130368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791331130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185372518616).

791331130368 is an abundant number, since it is smaller than the sum of its proper divisors (1579413906864).

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

791331130368 is a wasteful number, since it uses less digits than its factorization.

791331130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31020 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 791331130368 in words is "seven hundred ninety-one billion, three hundred thirty-one million, one hundred thirty thousand, three hundred sixty-eight".