648013985920 has 256 divisors, whose sum is σ = 1881589201920. Its totient is φ = 208328785920.

The previous prime is 648013985909. The next prime is 648013985933. The reversal of 648013985920 is 29589310846.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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, 20623662 + ... + 20655058.

It is an arithmetic number, because the mean of its divisors is an integer number (7349957820).

Almost surely, 2^648013985920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648013985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940794600960).

648013985920 is an abundant number, since it is smaller than the sum of its proper divisors (1233575216000).

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

648013985920 is a wasteful number, since it uses less digits than its factorization.

648013985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31711 (or 31699 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 648013985920 in words is "six hundred forty-eight billion, thirteen million, nine hundred eighty-five thousand, nine hundred twenty".