99906464620800 has 432 divisors, whose sum is σ = 367066891632000. Its totient is φ = 26589359185920.

The previous prime is 99906464620769. The next prime is 99906464620903. The reversal of 99906464620800 is 802646460999.

99906464620800 is a `hidden beast` number, since 9 + 9 + 90 + 6 + 4 + 6 + 462 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87387261 + ... + 88523139.

Almost surely, 2^{99906464620800} is an apocalyptic number.

99906464620800 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 99906464620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183533445816000).

99906464620800 is an abundant number, since it is smaller than the sum of its proper divisors (267160427011200).

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

99906464620800 is a wasteful number, since it uses less digits than its factorization.

99906464620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136423 (or 1136398 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 99906464620800 in words is "ninety-nine trillion, nine hundred six billion, four hundred sixty-four million, six hundred twenty thousand, eight hundred".