364104864 has 144 divisors (see below), whose sum is σ = 1087527168. Its totient is φ = 115416576.

The previous prime is 364104863. The next prime is 364104869. The reversal of 364104864 is 468401463.

364104864 is a `hidden beast` number, since 3 + 641 + 0 + 4 + 8 + 6 + 4 = 666.

364104864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (364104863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500469 + ... + 501195.

It is an arithmetic number, because the mean of its divisors is an integer number (7552272).

Almost surely, 2^364104864 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 364104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543763584).

364104864 is an abundant number, since it is smaller than the sum of its proper divisors (723422304).

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

364104864 is a wasteful number, since it uses less digits than its factorization.

364104864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 364104864 is about 19081.5320139658. The cubic root of 364104864 is about 714.0722568871.

The spelling of 364104864 in words is "three hundred sixty-four million, one hundred four thousand, eight hundred sixty-four".