364542064224 has 96 divisors (see below), whose sum is σ = 1030670301024. Its totient is φ = 112151777280.

The previous prime is 364542064217. The next prime is 364542064253. The reversal of 364542064224 is 422460245463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 12541612 + ... + 12570644.

It is an arithmetic number, because the mean of its divisors is an integer number (10736148969).

Almost surely, 2^364542064224 is an apocalyptic number.

It is an amenable number.

364542064224 is an abundant number, since it is smaller than the sum of its proper divisors (666128236800).

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

364542064224 is a wasteful number, since it uses less digits than its factorization.

364542064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39120 (or 39112 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 364542064224 in words is "three hundred sixty-four billion, five hundred forty-two million, sixty-four thousand, two hundred twenty-four".