64318353120 has 576 divisors, whose sum is σ = 270516879360. Its totient is φ = 13586227200.

The previous prime is 64318353109. The next prime is 64318353157. The reversal of 64318353120 is 2135381346.

64318353120 is a `hidden beast` number, since 6 + 43 + 1 + 83 + 531 + 2 + 0 = 666.

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

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, 7848225 + ... + 7856415.

It is an arithmetic number, because the mean of its divisors is an integer number (469647360).

Almost surely, 2^64318353120 is an apocalyptic number.

64318353120 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 64318353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135258439680).

64318353120 is an abundant number, since it is smaller than the sum of its proper divisors (206198526240).

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

64318353120 is a wasteful number, since it uses less digits than its factorization.

64318353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64318353120 in words is "sixty-four billion, three hundred eighteen million, three hundred fifty-three thousand, one hundred twenty".