9900396800 has 216 divisors, whose sum is σ = 28127533056. Its totient is φ = 3379691520.

The previous prime is 9900396773. The next prime is 9900396817. The reversal of 9900396800 is 86930099.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17158112 + ... + 17158688.

Almost surely, 2^9900396800 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 9900396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063766528).

9900396800 is an abundant number, since it is smaller than the sum of its proper divisors (18227136256).

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

9900396800 is a wasteful number, since it uses less digits than its factorization.

9900396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 9900396800 is about 99500.7376857076. The cubic root of 9900396800 is about 2147.2578561958.

The spelling of 9900396800 in words is "nine billion, nine hundred million, three hundred ninety-six thousand, eight hundred".