64059495120 has 240 divisors, whose sum is σ = 225296472960. Its totient is φ = 16280884224.

The previous prime is 64059495119. The next prime is 64059495139. The reversal of 64059495120 is 2159495046.

64059495120 is a `hidden beast` number, since 6 + 4 + 0 + 594 + 9 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4679646 + ... + 4693314.

It is an arithmetic number, because the mean of its divisors is an integer number (938735304).

Almost surely, 2^64059495120 is an apocalyptic number.

64059495120 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 64059495120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112648236480).

64059495120 is an abundant number, since it is smaller than the sum of its proper divisors (161236977840).

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

64059495120 is a wasteful number, since it uses less digits than its factorization.

64059495120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 64059495120 in words is "sixty-four billion, fifty-nine million, four hundred ninety-five thousand, one hundred twenty".