63621307975680 has 4608 divisors, whose sum is σ = 300358272614400. Its totient is φ = 12641461862400.

The previous prime is 63621307975669. The next prime is 63621307975871. The reversal of 63621307975680 is 8657970312636.

63621307975680 is a `hidden beast` number, since 6 + 3 + 62 + 1 + 3 + 0 + 7 + 9 + 7 + 568 + 0 = 666.

63621307975680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234764973945 + ... + 234764974215.

It is an arithmetic number, because the mean of its divisors is an integer number (65181916800).

Almost surely, 2^{63621307975680} is an apocalyptic number.

63621307975680 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 63621307975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150179136307200).

63621307975680 is an abundant number, since it is smaller than the sum of its proper divisors (236736964638720).

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

63621307975680 is a wasteful number, since it uses less digits than its factorization.

63621307975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 63621307975680 in words is "sixty-three trillion, six hundred twenty-one billion, three hundred seven million, nine hundred seventy-five thousand, six hundred eighty".