9099921600 has 1008 divisors, whose sum is σ = 41861963520. Its totient is φ = 1819238400.

The previous prime is 9099921577. The next prime is 9099921601. The reversal of 9099921600 is 61299909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×9099921600² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9099921601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32155059 + ... + 32155341.

Almost surely, 2^9099921600 is an apocalyptic number.

9099921600 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 9099921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930981760).

9099921600 is an abundant number, since it is smaller than the sum of its proper divisors (32762041920).

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

9099921600 is a wasteful number, since it uses less digits than its factorization.

9099921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 9099921600 is about 95393.5092131535. The cubic root of 9099921600 is about 2087.7534830293.

The spelling of 9099921600 in words is "nine billion, ninety-nine million, nine hundred twenty-one thousand, six hundred".