75864377346857 has 16 divisors (see below), whose sum is σ = 84522471321600. Its totient is φ = 67499854644240.

The previous prime is 75864377346853. The next prime is 75864377346871.

It is a happy number.

75864377346857 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75864377346857 - 2² = 75864377346853 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75864377346853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151406144 + ... + 151906382.

It is an arithmetic number, because the mean of its divisors is an integer number (5282654457600).

Almost surely, 2^{75864377346857} is an apocalyptic number.

It is an amenable number.

75864377346857 is a deficient number, since it is larger than the sum of its proper divisors (8658093974743).

75864377346857 is a wasteful number, since it uses less digits than its factorization.

75864377346857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793636.

The product of its digits is 19914854400, while the sum is 80.

The spelling of 75864377346857 in words is "seventy-five trillion, eight hundred sixty-four billion, three hundred seventy-seven million, three hundred forty-six thousand, eight hundred fifty-seven".