93731994720 has 1920 divisors, whose sum is σ = 442597478400. Its totient is φ = 18130894848.

The previous prime is 93731994679. The next prime is 93731994731. The reversal of 93731994720 is 2749913739.

93731994720 is a `hidden beast` number, since 93 + 73 + 19 + 9 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 1053168436 + ... + 1053168524.

It is an arithmetic number, because the mean of its divisors is an integer number (230519520).

Almost surely, 2^93731994720 is an apocalyptic number.

93731994720 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 93731994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221298739200).

93731994720 is an abundant number, since it is smaller than the sum of its proper divisors (348865483680).

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

93731994720 is a wasteful number, since it uses less digits than its factorization.

93731994720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 93731994720 in words is "ninety-three billion, seven hundred thirty-one million, nine hundred ninety-four thousand, seven hundred twenty".