9900979200 has 594 divisors, whose sum is σ = 41284997286. Its totient is φ = 2260500480.

The previous prime is 9900979159. The next prime is 9900979217. The reversal of 9900979200 is 29790099.

It can be written as a sum of positive squares in 3 ways, for example, as 1792336896 + 8108642304 = 42336^2 + 90048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11289162 + ... + 11290038.

Almost surely, 2^9900979200 is an apocalyptic number.

9900979200 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 9900979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642498643).

9900979200 is an abundant number, since it is smaller than the sum of its proper divisors (31384018086).

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

9900979200 is a wasteful number, since it uses less digits than its factorization.

9900979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 9900979200 is about 99503.6642541369. The cubic root of 9900979200 is about 2147.2999601801.

The spelling of 9900979200 in words is "nine billion, nine hundred million, nine hundred seventy-nine thousand, two hundred".