75864944946857 has 32 divisors (see below), whose sum is σ = 84643864704000. Its totient is φ = 67413107615040.

The previous prime is 75864944946823. The next prime is 75864944946863.

75864944946857 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75864944946857 - 2²⁰ = 75864943898281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75864944946457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267279508 + ... + 1267339370.

It is an arithmetic number, because the mean of its divisors is an integer number (2645120772000).

Almost surely, 2^{75864944946857} is an apocalyptic number.

It is an amenable number.

75864944946857 is a deficient number, since it is larger than the sum of its proper divisors (8778919757143).

75864944946857 is a wasteful number, since it uses less digits than its factorization.

75864944946857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71021.

The product of its digits is 58525286400, while the sum is 86.

The spelling of 75864944946857 in words is "seventy-five trillion, eight hundred sixty-four billion, nine hundred forty-four million, nine hundred forty-six thousand, eight hundred fifty-seven".