75688688657 has 16 divisors (see below), whose sum is σ = 79968639744. Its totient is φ = 71555760000.

The previous prime is 75688688599. The next prime is 75688688689.

75688688657 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75688688657 - 2¹⁴ = 75688672273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75688618657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182 + ... + 389072.

It is an arithmetic number, because the mean of its divisors is an integer number (4998039984).

Almost surely, 2^75688688657 is an apocalyptic number.

It is an amenable number.

75688688657 is a deficient number, since it is larger than the sum of its proper divisors (4279951087).

75688688657 is a wasteful number, since it uses less digits than its factorization.

75688688657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389080.

The product of its digits is 1083801600, while the sum is 74.

The spelling of 75688688657 in words is "seventy-five billion, six hundred eighty-eight million, six hundred eighty-eight thousand, six hundred fifty-seven".