9490089600 has 960 divisors, whose sum is σ = 38566281600. Its totient is φ = 2289254400.

The previous prime is 9490089569. The next prime is 9490089629. The reversal of 9490089600 is 69800949.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 201916777 + ... + 201916823.

It is an arithmetic number, because the mean of its divisors is an integer number (40173210).

Almost surely, 2^9490089600 is an apocalyptic number.

9490089600 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 9490089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19283140800).

9490089600 is an abundant number, since it is smaller than the sum of its proper divisors (29076192000).

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

9490089600 is a wasteful number, since it uses less digits than its factorization.

9490089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9490089600 is about 97417.0909029827. The cubic root of 9490089600 is about 2117.1750673571.

The spelling of 9490089600 in words is "nine billion, four hundred ninety million, eighty-nine thousand, six hundred".