99633206400 has 1152 divisors, whose sum is σ = 420698787840. Its totient is φ = 20271513600.

The previous prime is 99633206371. The next prime is 99633206419. The reversal of 99633206400 is 460233699.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 352060659 + ... + 352060941.

It is an arithmetic number, because the mean of its divisors is an integer number (365189920).

Almost surely, 2^99633206400 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 99633206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210349393920).

99633206400 is an abundant number, since it is smaller than the sum of its proper divisors (321065581440).

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

99633206400 is a wasteful number, since it uses less digits than its factorization.

99633206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 99633206400 in words is "ninety-nine billion, six hundred thirty-three million, two hundred six thousand, four hundred".