75737064657 has 16 divisors (see below), whose sum is σ = 102067454720. Its totient is φ = 49949471232.

The previous prime is 75737064617. The next prime is 75737064661. The reversal of 75737064657 is 75646073757.

It is not a de Polignac number, because 75737064657 - 2²⁴ = 75720287441 is a prime.

It is a super-2 number, since 2×75737064657² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75737064597 and 75737064606.

It is not an unprimeable number, because it can be changed into a prime (75737064617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640728 + ... + 749670.

It is an arithmetic number, because the mean of its divisors is an integer number (6379215920).

Almost surely, 2^75737064657 is an apocalyptic number.

It is an amenable number.

75737064657 is a deficient number, since it is larger than the sum of its proper divisors (26330390063).

75737064657 is a wasteful number, since it uses less digits than its factorization.

75737064657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111432.

The product of its (nonzero) digits is 25930800, while the sum is 57.

The spelling of 75737064657 in words is "seventy-five billion, seven hundred thirty-seven million, sixty-four thousand, six hundred fifty-seven".