63647962560 has 672 divisors, whose sum is σ = 281184583680. Its totient is φ = 12843933696.

The previous prime is 63647962559. The next prime is 63647962577. The reversal of 63647962560 is 6526974636.

63647962560 is a `hidden beast` number, since 6 + 3 + 6 + 4 + 7 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 63647962497 and 63647962506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6022561 + ... + 6033119.

It is an arithmetic number, because the mean of its divisors is an integer number (418429440).

Almost surely, 2^63647962560 is an apocalyptic number.

63647962560 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 63647962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140592291840).

63647962560 is an abundant number, since it is smaller than the sum of its proper divisors (217536621120).

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

63647962560 is a wasteful number, since it uses less digits than its factorization.

63647962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 63647962560 in words is "sixty-three billion, six hundred forty-seven million, nine hundred sixty-two thousand, five hundred sixty".