640947888000 has 768 divisors, whose sum is σ = 2648683514880. Its totient is φ = 145497600000.

The previous prime is 640947887959. The next prime is 640947888043. The reversal of 640947888000 is 888749046.

640947888000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 152205895 + ... + 152210105.

It is an arithmetic number, because the mean of its divisors is an integer number (3448806660).

Almost surely, 2^640947888000 is an apocalyptic number.

640947888000 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 640947888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324341757440).

640947888000 is an abundant number, since it is smaller than the sum of its proper divisors (2007735626880).

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

640947888000 is a wasteful number, since it uses less digits than its factorization.

640947888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 640947888000 in words is "six hundred forty billion, nine hundred forty-seven million, eight hundred eighty-eight thousand".