768456974001 has 32 divisors (see below), whose sum is σ = 1056239382528. Its totient is φ = 496707793920.

The previous prime is 768456973993. The next prime is 768456974069. The reversal of 768456974001 is 100479654867.

It is not a de Polignac number, because 768456974001 - 2³ = 768456973993 is a prime.

It is a super-2 number, since 2×768456974001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768456974501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10621716 + ... + 10693818.

It is an arithmetic number, because the mean of its divisors is an integer number (33007480704).

Almost surely, 2^768456974001 is an apocalyptic number.

It is an amenable number.

768456974001 is a deficient number, since it is larger than the sum of its proper divisors (287782408527).

768456974001 is a wasteful number, since it uses less digits than its factorization.

768456974001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72861.

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 768456974001 in words is "seven hundred sixty-eight billion, four hundred fifty-six million, nine hundred seventy-four thousand, one".