640214568000 has 672 divisors, whose sum is σ = 2731165032960. Its totient is φ = 139969843200.

The previous prime is 640214567987. The next prime is 640214568011. The reversal of 640214568000 is 865412046.

640214568000 is a `hidden beast` number, since 640 + 2 + 1 + 4 + 5 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11564386 + ... + 11619614.

It is an arithmetic number, because the mean of its divisors is an integer number (4064233680).

Almost surely, 2^640214568000 is an apocalyptic number.

640214568000 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 640214568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365582516480).

640214568000 is an abundant number, since it is smaller than the sum of its proper divisors (2090950464960).

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

640214568000 is a wasteful number, since it uses less digits than its factorization.

640214568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55292 (or 55269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 640214568000 in words is "six hundred forty billion, two hundred fourteen million, five hundred sixty-eight thousand".