63973597988160 has 448 divisors, whose sum is σ = 257942920435200. Its totient is φ = 14621537746944.

The previous prime is 63973597988147. The next prime is 63973597988213. The reversal of 63973597988160 is 6188979537936.

63973597988160 is a `hidden beast` number, since 6 + 3 + 9 + 7 + 3 + 597 + 9 + 8 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 63973597988160.

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 63 ways as a sum of consecutive naturals, for example, 1233342706 + ... + 1233394574.

It is an arithmetic number, because the mean of its divisors is an integer number (575765447400).

Almost surely, 2^{63973597988160} is an apocalyptic number.

63973597988160 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 63973597988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128971460217600).

63973597988160 is an abundant number, since it is smaller than the sum of its proper divisors (193969322447040).

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

63973597988160 is a wasteful number, since it uses less digits than its factorization.

63973597988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72295 (or 72279 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 63973597988160 in words is "sixty-three trillion, nine hundred seventy-three billion, five hundred ninety-seven million, nine hundred eighty-eight thousand, one hundred sixty".