63980928000 has 1584 divisors, whose sum is σ = 278271014112. Its totient is φ = 14598144000.

The previous prime is 63980927981. The next prime is 63980928023. The reversal of 63980928000 is 82908936.

63980928000 is a `hidden beast` number, since 639 + 8 + 0 + 9 + 2 + 8 + 0 + 0 + 0 = 666.

63980928000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3763583992 + ... + 3763584008.

Almost surely, 2^63980928000 is an apocalyptic number.

63980928000 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 63980928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139135507056).

63980928000 is an abundant number, since it is smaller than the sum of its proper divisors (214290086112).

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

63980928000 is a wasteful number, since it uses less digits than its factorization.

63980928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 63980928000 in words is "sixty-three billion, nine hundred eighty million, nine hundred twenty-eight thousand".