9996979200 has 1056 divisors, whose sum is σ = 40937379840. Its totient is φ = 2123366400.

The previous prime is 9996979193. The next prime is 9996979247. The reversal of 9996979200 is 29796999.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322483185 + ... + 322483215.

Almost surely, 2^9996979200 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 9996979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468689920).

9996979200 is an abundant number, since it is smaller than the sum of its proper divisors (30940400640).

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

9996979200 is a wasteful number, since it uses less digits than its factorization.

9996979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 60.

The square root of 9996979200 is about 99984.8948591736. The cubic root of 9996979200 is about 2154.2177309737.

The spelling of 9996979200 in words is "nine billion, nine hundred ninety-six million, nine hundred seventy-nine thousand, two hundred".