9906424000 has 112 divisors (see below), whose sum is σ = 26763793056. Its totient is φ = 3602304000.

The previous prime is 9906423959. The next prime is 9906424039. The reversal of 9906424000 is 4246099.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31714 + ... + 144286.

It is an arithmetic number, because the mean of its divisors is an integer number (238962438).

Almost surely, 2^9906424000 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 9906424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381896528).

9906424000 is an abundant number, since it is smaller than the sum of its proper divisors (16857369056).

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

9906424000 is a wasteful number, since it uses less digits than its factorization.

9906424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112611 (or 112591 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 9906424000 is about 99531.0202901588. The cubic root of 9906424000 is about 2147.6935063155.

The spelling of 9906424000 in words is "nine billion, nine hundred six million, four hundred twenty-four thousand".