63956511682560 has 1248 divisors, whose sum is σ = 259912906531200. Its totient is φ = 14244277911552.

The previous prime is 63956511682541. The next prime is 63956511682603. The reversal of 63956511682560 is 6528611565936.

It is a happy number.

63956511682560 is a `hidden beast` number, since 6 + 3 + 9 + 5 + 6 + 5 + 1 + 1 + 68 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10189022142 + ... + 10189028418.

It is an arithmetic number, because the mean of its divisors is an integer number (208263546900).

Almost surely, 2^{63956511682560} is an apocalyptic number.

63956511682560 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 63956511682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129956453265600).

63956511682560 is an abundant number, since it is smaller than the sum of its proper divisors (195956394848640).

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

63956511682560 is a wasteful number, since it uses less digits than its factorization.

63956511682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 63956511682560 in words is "sixty-three trillion, nine hundred fifty-six billion, five hundred eleven million, six hundred eighty-two thousand, five hundred sixty".