768670107627 has 32 divisors (see below), whose sum is σ = 1051460720640. Its totient is φ = 499265187840.

The previous prime is 768670107571. The next prime is 768670107701. The reversal of 768670107627 is 726701076867.

It is not a de Polignac number, because 768670107627 - 2³⁹ = 218914293739 is a prime.

It is a super-2 number, since 2×768670107627² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (768670108627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55209627 + ... + 55223547.

It is an arithmetic number, because the mean of its divisors is an integer number (32858147520).

Almost surely, 2^768670107627 is an apocalyptic number.

768670107627 is a deficient number, since it is larger than the sum of its proper divisors (282790613013).

768670107627 is a wasteful number, since it uses less digits than its factorization.

768670107627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723.

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 768670107627 in words is "seven hundred sixty-eight billion, six hundred seventy million, one hundred seven thousand, six hundred twenty-seven".