75666666666657 has 24 divisors (see below), whose sum is σ = 110894966449792. Its totient is φ = 45858351005280.

The previous prime is 75666666666629. The next prime is 75666666666659.

75666666666657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75666666666657 - 2⁷ = 75666666666529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75666666666657.

It is not an unprimeable number, because it can be changed into a prime (75666666666659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92981343 + ... + 93791595.

Almost surely, 2^{75666666666657} is an apocalyptic number.

It is an amenable number.

75666666666657 is a deficient number, since it is larger than the sum of its proper divisors (35228299783135).

75666666666657 is a wasteful number, since it uses less digits than its factorization.

75666666666657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067541 (or 1067530 counting only the distinct ones).

The product of its digits is 74071065600, while the sum is 84.

The spelling of 75666666666657 in words is "seventy-five trillion, six hundred sixty-six billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred fifty-seven".