63720812160 has 256 divisors, whose sum is σ = 225955296000. Its totient is φ = 16971337728.

The previous prime is 63720812149. The next prime is 63720812171. The reversal of 63720812160 is 6121802736.

63720812160 is a `hidden beast` number, since 637 + 2 + 0 + 8 + 1 + 2 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63720812149) and next prime (63720812171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18366906 + ... + 18370374.

It is an arithmetic number, because the mean of its divisors is an integer number (882637875).

Almost surely, 2^63720812160 is an apocalyptic number.

63720812160 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 63720812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112977648000).

63720812160 is an abundant number, since it is smaller than the sum of its proper divisors (162234483840).

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

63720812160 is a wasteful number, since it uses less digits than its factorization.

63720812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 63720812160 in words is "sixty-three billion, seven hundred twenty million, eight hundred twelve thousand, one hundred sixty".