93921327360 has 576 divisors, whose sum is σ = 385686120960. Its totient is φ = 21463252992.

The previous prime is 93921327359. The next prime is 93921327377. The reversal of 93921327360 is 6372312939.

93921327360 is a `hidden beast` number, since 9 + 392 + 132 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 19593124 + ... + 19597916.

It is an arithmetic number, because the mean of its divisors is an integer number (669593960).

Almost surely, 2^93921327360 is an apocalyptic number.

93921327360 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 93921327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192843060480).

93921327360 is an abundant number, since it is smaller than the sum of its proper divisors (291764793600).

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

93921327360 is an frugal number, since it uses more digits than its factorization.

93921327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 93921327360 in words is "ninety-three billion, nine hundred twenty-one million, three hundred twenty-seven thousand, three hundred sixty".