93662472960 has 1728 divisors, whose sum is σ = 422784230400. Its totient is φ = 19508428800.

The previous prime is 93662472881. The next prime is 93662472973. The reversal of 93662472960 is 6927426639.

93662472960 is a `hidden beast` number, since 9 + 3 + 6 + 624 + 7 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 93662472897 and 93662472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1319189725 + ... + 1319189795.

It is an arithmetic number, because the mean of its divisors is an integer number (244666800).

Almost surely, 2^93662472960 is an apocalyptic number.

93662472960 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 93662472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392115200).

93662472960 is an abundant number, since it is smaller than the sum of its proper divisors (329121757440).

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

93662472960 is a wasteful number, since it uses less digits than its factorization.

93662472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 93662472960 in words is "ninety-three billion, six hundred sixty-two million, four hundred seventy-two thousand, nine hundred sixty".