93664005120 has 2112 divisors, whose sum is σ = 441444556800. Its totient is φ = 17836277760.

The previous prime is 93664005067. The next prime is 93664005179. The reversal of 93664005120 is 2150046639.

It is a happy number.

93664005120 is a `hidden beast` number, since 9 + 3 + 6 + 640 + 0 + 5 + 1 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3021419505 + ... + 3021419535.

Almost surely, 2^93664005120 is an apocalyptic number.

93664005120 is a gapful number since it is divisible by the number (90) 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 93664005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220722278400).

93664005120 is an abundant number, since it is smaller than the sum of its proper divisors (347780551680).

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

93664005120 is a wasteful number, since it uses less digits than its factorization.

93664005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 93664005120 in words is "ninety-three billion, six hundred sixty-four million, five thousand, one hundred twenty".