9992380320 has 480 divisors, whose sum is σ = 38358448128. Its totient is φ = 2435069952.

The previous prime is 9992380289. The next prime is 9992380369. The reversal of 9992380320 is 230832999.

9992380320 is a `hidden beast` number, since 9 + 99 + 238 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21396727 + ... + 21397193.

Almost surely, 2^9992380320 is an apocalyptic number.

9992380320 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 9992380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179224064).

9992380320 is an abundant number, since it is smaller than the sum of its proper divisors (28366067808).

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

9992380320 is a wasteful number, since it uses less digits than its factorization.

9992380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9992380320 is about 99961.8943397933. The cubic root of 9992380320 is about 2153.8873475586.

The spelling of 9992380320 in words is "nine billion, nine hundred ninety-two million, three hundred eighty thousand, three hundred twenty".