99634910400 has 252 divisors, whose sum is σ = 354417779352. Its totient is φ = 26547425280.

The previous prime is 99634910399. The next prime is 99634910413. The reversal of 99634910400 is 401943699.

99634910400 is a `hidden beast` number, since 9 + 9 + 634 + 9 + 1 + 0 + 4 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 25241227 + ... + 25245173.

Almost surely, 2^99634910400 is an apocalyptic number.

99634910400 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 99634910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177208889676).

99634910400 is an abundant number, since it is smaller than the sum of its proper divisors (254782868952).

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

99634910400 is a wasteful number, since it uses less digits than its factorization.

99634910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 99634910400 in words is "ninety-nine billion, six hundred thirty-four million, nine hundred ten thousand, four hundred".