9472668400 has 120 divisors (see below), whose sum is σ = 24572600864. Its totient is φ = 3488486400.

The previous prime is 9472668397. The next prime is 9472668421. The reversal of 9472668400 is 48662749.

It is a happy number.

9472668400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187037 + ... + 2191363.

Almost surely, 2^9472668400 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 9472668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286300432).

9472668400 is an abundant number, since it is smaller than the sum of its proper divisors (15099932464).

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

9472668400 is a wasteful number, since it uses less digits than its factorization.

9472668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 9472668400 is about 97327.6343080422. The cubic root of 9472668400 is about 2115.8787563508.

The spelling of 9472668400 in words is "nine billion, four hundred seventy-two million, six hundred sixty-eight thousand, four hundred".