75686868657 has 12 divisors (see below), whose sum is σ = 115079449680. Its totient is φ = 47802232728.

The previous prime is 75686868623. The next prime is 75686868671.

75686868657 is a `hidden beast` number, since 7 + 568 + 6 + 8 + 6 + 8 + 6 + 57 = 666.

75686868657 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-75686868657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75686868857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221306463 + ... + 221306804.

It is an arithmetic number, because the mean of its divisors is an integer number (9589954140).

Almost surely, 2^75686868657 is an apocalyptic number.

It is an amenable number.

75686868657 is a deficient number, since it is larger than the sum of its proper divisors (39392581023).

75686868657 is a wasteful number, since it uses less digits than its factorization.

75686868657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442613292 (or 442613289 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 75686868657 in words is "seventy-five billion, six hundred eighty-six million, eight hundred sixty-eight thousand, six hundred fifty-seven".