75727313613 has 64 divisors (see below), whose sum is σ = 128945779200. Its totient is φ = 43026992640.

The previous prime is 75727313593. The next prime is 75727313617. The reversal of 75727313613 is 31631372757.

75727313613 is a `hidden beast` number, since 7 + 5 + 7 + 27 + 3 + 1 + 3 + 613 = 666.

It is not a de Polignac number, because 75727313613 - 2⁵ = 75727313581 is a prime.

It is a super-2 number, since 2×75727313613² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75727313617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33198033 + ... + 33200313.

It is an arithmetic number, because the mean of its divisors is an integer number (2014777800).

Almost surely, 2^75727313613 is an apocalyptic number.

It is an amenable number.

75727313613 is a deficient number, since it is larger than the sum of its proper divisors (53218465587).

75727313613 is a wasteful number, since it uses less digits than its factorization.

75727313613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3213 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The spelling of 75727313613 in words is "seventy-five billion, seven hundred twenty-seven million, three hundred thirteen thousand, six hundred thirteen".