364640640 has 256 divisors, whose sum is σ = 1431198720. Its totient is φ = 76898304.

The previous prime is 364640629. The next prime is 364640669. The reversal of 364640640 is 46046463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173677 + ... + 175763.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^364640640 is an apocalyptic number.

364640640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715599360).

364640640 is an abundant number, since it is smaller than the sum of its proper divisors (1066558080).

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

364640640 is a wasteful number, since it uses less digits than its factorization.

364640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 364640640 is about 19095.5659774724. The cubic root of 364640640 is about 714.4223348576.

The spelling of 364640640 in words is "three hundred sixty-four million, six hundred forty thousand, six hundred forty".