63632048625600 has 672 divisors, whose sum is σ = 257007801447936. Its totient is φ = 13422274560000.

The previous prime is 63632048625529. The next prime is 63632048625617. The reversal of 63632048625600 is 652684023636.

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

It is a super-2 number, since 2×63632048625600² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1973009475 + ... + 1973041725.

It is an arithmetic number, because the mean of its divisors is an integer number (382452085488).

Almost surely, 2^{63632048625600} is an apocalyptic number.

63632048625600 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 63632048625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128503900723968).

63632048625600 is an abundant number, since it is smaller than the sum of its proper divisors (193375752822336).

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

63632048625600 is a wasteful number, since it uses less digits than its factorization.

63632048625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36813 (or 36798 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 63632048625600 in words is "sixty-three trillion, six hundred thirty-two billion, forty-eight million, six hundred twenty-five thousand, six hundred".