63564905613960 has 1152 divisors, whose sum is σ = 224743323168000. Its totient is φ = 16154024140800.

The previous prime is 63564905613917. The next prime is 63564905613961. The reversal of 63564905613960 is 6931650946536.

It is a happy number.

63564905613960 is a `hidden beast` number, since 6 + 3 + 5 + 6 + 4 + 9 + 0 + 5 + 613 + 9 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (63564905613961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 182134399866 + ... + 182134400214.

It is an arithmetic number, because the mean of its divisors is an integer number (195089690250).

Almost surely, 2^{63564905613960} is an apocalyptic number.

63564905613960 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 63564905613960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112371661584000).

63564905613960 is an abundant number, since it is smaller than the sum of its proper divisors (161178417554040).

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

63564905613960 is a wasteful number, since it uses less digits than its factorization.

63564905613960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 63564905613960 in words is "sixty-three trillion, five hundred sixty-four billion, nine hundred five million, six hundred thirteen thousand, nine hundred sixty".