96692032800 has 864 divisors, whose sum is σ = 390365015040. Its totient is φ = 23160038400.

The previous prime is 96692032777. The next prime is 96692032813. The reversal of 96692032800 is 823029669.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220254981 + ... + 220255419.

It is an arithmetic number, because the mean of its divisors is an integer number (451811360).

Almost surely, 2^96692032800 is an apocalyptic number.

96692032800 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 96692032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195182507520).

96692032800 is an abundant number, since it is smaller than the sum of its proper divisors (293672982240).

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

96692032800 is a wasteful number, since it uses less digits than its factorization.

96692032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 96692032800 in words is "ninety-six billion, six hundred ninety-two million, thirty-two thousand, eight hundred".