36431295264 has 384 divisors, whose sum is σ = 131163701760. Its totient is φ = 9580032000.

The previous prime is 36431295253. The next prime is 36431295281. The reversal of 36431295264 is 46259213463.

36431295264 is a `hidden beast` number, since 364 + 3 + 1 + 29 + 5 + 264 = 666.

36431295264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36431295264² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51970114 + ... + 51970814.

It is an arithmetic number, because the mean of its divisors is an integer number (341572140).

Almost surely, 2^36431295264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36431295264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65581850880).

36431295264 is an abundant number, since it is smaller than the sum of its proper divisors (94732406496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36431295264 is a wasteful number, since it uses less digits than its factorization.

36431295264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1387 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 36431295264 in words is "thirty-six billion, four hundred thirty-one million, two hundred ninety-five thousand, two hundred sixty-four".