9900031680 has 896 divisors, whose sum is σ = 45506396160. Its totient is φ = 1964666880.

The previous prime is 9900031663. The next prime is 9900031699. The reversal of 9900031680 is 861300099.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15301117 + ... + 15301763.

Almost surely, 2^9900031680 is an apocalyptic number.

9900031680 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 9900031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22753198080).

9900031680 is an abundant number, since it is smaller than the sum of its proper divisors (35606364480).

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

9900031680 is a wasteful number, since it uses less digits than its factorization.

9900031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9900031680 is about 99498.9029085246. The cubic root of 9900031680 is about 2147.2314593943.

The spelling of 9900031680 in words is "nine billion, nine hundred million, thirty-one thousand, six hundred eighty".