63956656512 has 720 divisors, whose sum is σ = 230527948860. Its totient is φ = 17548876800.

The previous prime is 63956656507. The next prime is 63956656583. The reversal of 63956656512 is 21565665936.

63956656512 is a `hidden beast` number, since 6 + 3 + 9 + 5 + 66 + 565 + 12 = 666.

It is a super-2 number, since 2×63956656512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 488218687 + ... + 488218817.

Almost surely, 2^63956656512 is an apocalyptic number.

63956656512 is a gapful number since it is divisible by the number (62) 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 63956656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115263974430).

63956656512 is an abundant number, since it is smaller than the sum of its proper divisors (166571292348).

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

63956656512 is a wasteful number, since it uses less digits than its factorization.

63956656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 174 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 63956656512 in words is "sixty-three billion, nine hundred fifty-six million, six hundred fifty-six thousand, five hundred twelve".