9924812800 has 504 divisors, whose sum is σ = 30569891616. Its totient is φ = 3179151360.

The previous prime is 9924812797. The next prime is 9924812867. The reversal of 9924812800 is 82184299.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 230809579 + ... + 230809621.

Almost surely, 2^9924812800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9924812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284945808).

9924812800 is an abundant number, since it is smaller than the sum of its proper divisors (20645078816).

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

9924812800 is a wasteful number, since it uses less digits than its factorization.

9924812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 9924812800 is about 99623.3546915581. The cubic root of 9924812800 is about 2149.0215703041.

The spelling of 9924812800 in words is "nine billion, nine hundred twenty-four million, eight hundred twelve thousand, eight hundred".