64713561120 has 576 divisors, whose sum is σ = 247432631040. Its totient is φ = 15788777472.

The previous prime is 64713561083. The next prime is 64713561163. The reversal of 64713561120 is 2116531746.

64713561120 is a `hidden beast` number, since 6 + 4 + 7 + 1 + 35 + 611 + 2 + 0 = 666.

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

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, 100020637 + ... + 100021283.

It is an arithmetic number, because the mean of its divisors is an integer number (429570540).

Almost surely, 2^64713561120 is an apocalyptic number.

64713561120 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 64713561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123716315520).

64713561120 is an abundant number, since it is smaller than the sum of its proper divisors (182719069920).

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

64713561120 is a wasteful number, since it uses less digits than its factorization.

64713561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 64713561120 in words is "sixty-four billion, seven hundred thirteen million, five hundred sixty-one thousand, one hundred twenty".