791344500264000 has 672 divisors, whose sum is σ = 2922807268472832. Its totient is φ = 204167554560000.

The previous prime is 791344500263981. The next prime is 791344500264053. The reversal of 791344500264000 is 462005443197.

791344500264000 is a `hidden beast` number, since 7 + 9 + 134 + 4 + 500 + 2 + 6 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×791344500264000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9510510397 + ... + 9510593603.

Almost surely, 2^{791344500264000} 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 791344500264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461403634236416).

791344500264000 is an abundant number, since it is smaller than the sum of its proper divisors (2131462768208832).

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

791344500264000 is a wasteful number, since it uses less digits than its factorization.

791344500264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87532 (or 87509 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 791344500264000 in words is "seven hundred ninety-one trillion, three hundred forty-four billion, five hundred million, two hundred sixty-four thousand".