99924644476800 has 768 divisors, whose sum is σ = 429629439456000. Its totient is φ = 22360756838400.

The previous prime is 99924644476759. The next prime is 99924644476801. The reversal of 99924644476800 is 867444642999.

It is a happy number.

99924644476800 is a `hidden beast` number, since 9 + 9 + 92 + 4 + 64 + 4 + 476 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99924644476801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8311371 + ... + 16399029.

It is an arithmetic number, because the mean of its divisors is an integer number (559413332625).

Almost surely, 2^{99924644476800} is an apocalyptic number.

99924644476800 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 99924644476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214814719728000).

99924644476800 is an abundant number, since it is smaller than the sum of its proper divisors (329704794979200).

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

99924644476800 is a wasteful number, since it uses less digits than its factorization.

99924644476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087716 (or 8087693 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 99924644476800 in words is "ninety-nine trillion, nine hundred twenty-four billion, six hundred forty-four million, four hundred seventy-six thousand, eight hundred".