9916240320 has 1120 divisors, whose sum is σ = 43619659776. Its totient is φ = 2090188800.

The previous prime is 9916240319. The next prime is 9916240331. The reversal of 9916240320 is 230426199.

9916240320 is a `hidden beast` number, since 9 + 9 + 1 + 624 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 230610219 + ... + 230610261.

Almost surely, 2^9916240320 is an apocalyptic number.

9916240320 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 9916240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21809829888).

9916240320 is an abundant number, since it is smaller than the sum of its proper divisors (33703419456).

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

9916240320 is a wasteful number, since it uses less digits than its factorization.

9916240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9916240320 is about 99580.3209474643. The cubic root of 9916240320 is about 2148.4026585110.

The spelling of 9916240320 in words is "nine billion, nine hundred sixteen million, two hundred forty thousand, three hundred twenty".