99632332800 has 2160 divisors, whose sum is σ = 496934360832. Its totient is φ = 19110297600.

The previous prime is 99632332799. The next prime is 99632332823. The reversal of 99632332800 is 823323699.

It is a Jordan-Polya number, since it can be written as 13! ⋅ (2!)⁴.

99632332800 is a `hidden beast` number, since 9 + 9 + 632 + 3 + 3 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

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, 7664025594 + ... + 7664025606.

Almost surely, 2^99632332800 is an apocalyptic number.

99632332800 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 99632332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248467180416).

99632332800 is an abundant number, since it is smaller than the sum of its proper divisors (397302028032).

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

99632332800 is a wasteful number, since it uses less digits than its factorization.

99632332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 99632332800 in words is "ninety-nine billion, six hundred thirty-two million, three hundred thirty-two thousand, eight hundred".