99668626200 has 768 divisors, whose sum is σ = 405574041600. Its totient is φ = 22179225600.

The previous prime is 99668626193. The next prime is 99668626219. The reversal of 99668626200 is 262686699.

99668626200 = T₁ + T₂ + ... + T₈₄₂₄.

99668626200 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 8 + 6 + 2 + 620 + 0 = 666.

99668626200 is a nontrivial binomial coefficient, being equal to C(8426, 3).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is the 8424-th tetrahedral number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260231209 + ... + 260231591.

It is an arithmetic number, because the mean of its divisors is an integer number (528091200).

Almost surely, 2^99668626200 is an apocalyptic number.

99668626200 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 99668626200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202787020800).

99668626200 is an abundant number, since it is smaller than the sum of its proper divisors (305905415400).

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

99668626200 is a wasteful number, since it uses less digits than its factorization.

99668626200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 99668626200 in words is "ninety-nine billion, six hundred sixty-eight million, six hundred twenty-six thousand, two hundred".