75645833854657 has 12 divisors (see below), whose sum is σ = 83313204065280. Its totient is φ = 68632222238360.

The previous prime is 75645833854609. The next prime is 75645833854687.

75645833854657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75645833854657 - 2³⁵ = 75611474116289 is a prime.

It is a super-2 number, since 2×75645833854657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75645833854687) 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, 621382657 + ... + 621504382.

It is an arithmetic number, because the mean of its divisors is an integer number (6942767005440).

Almost surely, 2^{75645833854657} is an apocalyptic number.

It is an amenable number.

75645833854657 is a deficient number, since it is larger than the sum of its proper divisors (7667370210623).

75645833854657 is a wasteful number, since it uses less digits than its factorization.

75645833854657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242887564 (or 1242887553 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 76.

The spelling of 75645833854657 in words is "seventy-five trillion, six hundred forty-five billion, eight hundred thirty-three million, eight hundred fifty-four thousand, six hundred fifty-seven".