8384920320 has 288 divisors, whose sum is σ = 31260837888. Its totient is φ = 1875492864.

The previous prime is 8384920301. The next prime is 8384920333. The reversal of 8384920320 is 230294838.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260042 + ... + 1266678.

It is an arithmetic number, because the mean of its divisors is an integer number (108544576).

Almost surely, 2^8384920320 is an apocalyptic number.

8384920320 is a gapful number since it is divisible by the number (80) 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 8384920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630418944).

8384920320 is an abundant number, since it is smaller than the sum of its proper divisors (22875917568).

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

8384920320 is a wasteful number, since it uses less digits than its factorization.

8384920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6715 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 8384920320 is about 91569.2105459035. The cubic root of 8384920320 is about 2031.5755618354.

The spelling of 8384920320 in words is "eight billion, three hundred eighty-four million, nine hundred twenty thousand, three hundred twenty".