9445872000 has 512 divisors, whose sum is σ = 32995123200. Its totient is φ = 2388172800.

The previous prime is 9445871999. The next prime is 9445872013. The reversal of 9445872000 is 2785449.

It is a self number, because there is not a number n which added to its sum of digits gives 9445872000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119567961 + ... + 119568039.

It is an arithmetic number, because the mean of its divisors is an integer number (64443600).

Almost surely, 2^9445872000 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 9445872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497561600).

9445872000 is an abundant number, since it is smaller than the sum of its proper divisors (23549251200).

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

9445872000 is a wasteful number, since it uses less digits than its factorization.

9445872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 9445872000 is about 97189.8760159720. The cubic root of 9445872000 is about 2113.8817308774.

The spelling of 9445872000 in words is "nine billion, four hundred forty-five million, eight hundred seventy-two thousand".