93934088640 has 448 divisors, whose sum is σ = 379465758720. Its totient is φ = 21428305920.

The previous prime is 93934088603. The next prime is 93934088669. The reversal of 93934088640 is 4688043939.

It is a happy number.

93934088640 is a `hidden beast` number, since 93 + 93 + 408 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×93934088640² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 38766469 + ... + 38768891.

Almost surely, 2^93934088640 is an apocalyptic number.

93934088640 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 93934088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189732879360).

93934088640 is an abundant number, since it is smaller than the sum of its proper divisors (285531670080).

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

93934088640 is a wasteful number, since it uses less digits than its factorization.

93934088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 93934088640 in words is "ninety-three billion, nine hundred thirty-four million, eighty-eight thousand, six hundred forty".