63617937120 has 576 divisors, whose sum is σ = 238438287360. Its totient is φ = 15386112000.

The previous prime is 63617937113. The next prime is 63617937133. The reversal of 63617937120 is 2173971636.

63617937120 is a `hidden beast` number, since 6 + 3 + 617 + 9 + 3 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90752770 + ... + 90753470.

It is an arithmetic number, because the mean of its divisors is an integer number (413955360).

Almost surely, 2^63617937120 is an apocalyptic number.

63617937120 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 63617937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119219143680).

63617937120 is an abundant number, since it is smaller than the sum of its proper divisors (174820350240).

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

63617937120 is a wasteful number, since it uses less digits than its factorization.

63617937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 63617937120 in words is "sixty-three billion, six hundred seventeen million, nine hundred thirty-seven thousand, one hundred twenty".