63332962560 has 864 divisors, whose sum is σ = 264240144000. Its totient is φ = 14321664000.

The previous prime is 63332962559. The next prime is 63332962573. The reversal of 63332962560 is 6526923336.

63332962560 is a `hidden beast` number, since 6 + 3 + 3 + 3 + 29 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×63332962560² (a number of 22 digits) contains 22 as substring.

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

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, 252322435 + ... + 252322685.

It is an arithmetic number, because the mean of its divisors is an integer number (305833500).

Almost surely, 2^63332962560 is an apocalyptic number.

63332962560 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 63332962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132120072000).

63332962560 is an abundant number, since it is smaller than the sum of its proper divisors (200907181440).

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

63332962560 is a wasteful number, since it uses less digits than its factorization.

63332962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 63332962560 in words is "sixty-three billion, three hundred thirty-two million, nine hundred sixty-two thousand, five hundred sixty".