9993318720 has 896 divisors, whose sum is σ = 42135552000. Its totient is φ = 1986969600.

The previous prime is 9993318683. The next prime is 9993318749. The reversal of 9993318720 is 278133999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112284436 + ... + 112284524.

Almost surely, 2^9993318720 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 9993318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067776000).

9993318720 is an abundant number, since it is smaller than the sum of its proper divisors (32142233280).

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

9993318720 is a wasteful number, since it uses less digits than its factorization.

9993318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 9993318720 is about 99966.5880181974. The cubic root of 9993318720 is about 2153.9547704199.

The spelling of 9993318720 in words is "nine billion, nine hundred ninety-three million, three hundred eighteen thousand, seven hundred twenty".