93660964992 has 384 divisors, whose sum is σ = 320798649600. Its totient is φ = 25662873600.

The previous prime is 93660964973. The next prime is 93660965003. The reversal of 93660964992 is 29946906639.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36714117 + ... + 36716667.

It is an arithmetic number, because the mean of its divisors is an integer number (835413150).

Almost surely, 2^93660964992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93660964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160399324800).

93660964992 is an abundant number, since it is smaller than the sum of its proper divisors (227137684608).

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

93660964992 is a wasteful number, since it uses less digits than its factorization.

93660964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 93660964992 in words is "ninety-three billion, six hundred sixty million, nine hundred sixty-four thousand, nine hundred ninety-two".