75668966986657 has 12 divisors (see below), whose sum is σ = 83357181594864. Its totient is φ = 68122106096520.

The previous prime is 75668966986651. The next prime is 75668966986661.

75668966986657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75668966986657 - 2²³ = 75668958598049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75668966986651) 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, 324089023 + ... + 324322420.

It is an arithmetic number, because the mean of its divisors is an integer number (6946431799572).

Almost surely, 2^{75668966986657} is an apocalyptic number.

It is an amenable number.

75668966986657 is a deficient number, since it is larger than the sum of its proper divisors (7688214608207).

75668966986657 is a wasteful number, since it uses less digits than its factorization.

75668966986657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648411660 (or 648411557 counting only the distinct ones).

The product of its digits is 296284262400, while the sum is 94.

The spelling of 75668966986657 in words is "seventy-five trillion, six hundred sixty-eight billion, nine hundred sixty-six million, nine hundred eighty-six thousand, six hundred fifty-seven".