93049312320 has 672 divisors, whose sum is σ = 353854365696. Its totient is φ = 22339584000.

The previous prime is 93049312297. The next prime is 93049312387. The reversal of 93049312320 is 2321394039.

93049312320 is a `hidden beast` number, since 9 + 304 + 9 + 312 + 32 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153293457 + ... + 153294063.

Almost surely, 2^93049312320 is an apocalyptic number.

93049312320 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 93049312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176927182848).

93049312320 is an abundant number, since it is smaller than the sum of its proper divisors (260805053376).

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

93049312320 is a wasteful number, since it uses less digits than its factorization.

93049312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 93049312320 in words is "ninety-three billion, forty-nine million, three hundred twelve thousand, three hundred twenty".