364964946336 has 72 divisors (see below), whose sum is σ = 1037939928480. Its totient is φ = 121646676096.

The previous prime is 364964946319. The next prime is 364964946503. The reversal of 364964946336 is 633649469463.

364964946336 is a `hidden beast` number, since 36 + 496 + 49 + 46 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5345631 + ... + 5413473.

It is an arithmetic number, because the mean of its divisors is an integer number (14415832340).

Almost surely, 2^364964946336 is an apocalyptic number.

364964946336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

364964946336 is an abundant number, since it is smaller than the sum of its proper divisors (672974982144).

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

364964946336 is a wasteful number, since it uses less digits than its factorization.

364964946336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86538 (or 86527 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 63.

The spelling of 364964946336 in words is "three hundred sixty-four billion, nine hundred sixty-four million, nine hundred forty-six thousand, three hundred thirty-six".