99634291200 has 720 divisors, whose sum is σ = 368667430560. Its totient is φ = 25685852160.

The previous prime is 99634291171. The next prime is 99634291213. The reversal of 99634291200 is 219243699.

It is a happy number.

99634291200 is a `hidden beast` number, since 9 + 9 + 634 + 2 + 9 + 1 + 2 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 315649²-1.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 727257532 + ... + 727257668.

It is an arithmetic number, because the mean of its divisors is an integer number (512038098).

Almost surely, 2^99634291200 is an apocalyptic number.

99634291200 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 99634291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184333715280).

99634291200 is an abundant number, since it is smaller than the sum of its proper divisors (269033139360).

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

99634291200 is a wasteful number, since it uses less digits than its factorization.

99634291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

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

The spelling of 99634291200 in words is "ninety-nine billion, six hundred thirty-four million, two hundred ninety-one thousand, two hundred".