640909055952000 has 1536 divisors, whose sum is σ = 2561067852295680. Its totient is φ = 152293478400000.

The previous prime is 640909055951959. The next prime is 640909055952017. The reversal of 640909055952000 is 259550909046.

640909055952000 is a `hidden beast` number, since 6 + 40 + 9 + 0 + 9 + 0 + 5 + 595 + 2 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19456255530 + ... + 19456288470.

It is an arithmetic number, because the mean of its divisors is an integer number (1667361883005).

Almost surely, 2^{640909055952000} is an apocalyptic number.

640909055952000 is a gapful number since it is divisible by the number (60) 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 640909055952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280533926147840).

640909055952000 is an abundant number, since it is smaller than the sum of its proper divisors (1920158796343680).

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

640909055952000 is a wasteful number, since it uses less digits than its factorization.

640909055952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33231 (or 33206 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 640909055952000 in words is "six hundred forty trillion, nine hundred nine billion, fifty-five million, nine hundred fifty-two thousand".