640576800 has 108 divisors (see below), whose sum is σ = 2258859330. Its totient is φ = 170818560.

The previous prime is 640576787. The next prime is 640576829. The reversal of 640576800 is 8675046.

It is a happy number.

640576800 is a `hidden beast` number, since 6 + 4 + 0 + 576 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 523677456 + 116899344 = 22884^2 + 10812^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37285 + ... + 51684.

Almost surely, 2^640576800 is an apocalyptic number.

640576800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640576800 is an abundant number, since it is smaller than the sum of its proper divisors (1618282530).

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

640576800 is a wasteful number, since it uses less digits than its factorization.

640576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88995 (or 88979 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 640576800 is about 25309.6187249038. The cubic root of 640576800 is about 862.0326895117.

The spelling of 640576800 in words is "six hundred forty million, five hundred seventy-six thousand, eight hundred".