8959072320 has 504 divisors, whose sum is σ = 34655467392. Its totient is φ = 2121799680.

The previous prime is 8959072271. The next prime is 8959072321. The reversal of 8959072320 is 232709598.

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

It is not an unprimeable number, because it can be changed into a prime (8959072321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16378287 + ... + 16378833.

It is an arithmetic number, because the mean of its divisors is an integer number (68760848).

Almost surely, 2^8959072320 is an apocalyptic number.

8959072320 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 8959072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327733696).

8959072320 is an abundant number, since it is smaller than the sum of its proper divisors (25696395072).

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

8959072320 is a wasteful number, since it uses less digits than its factorization.

8959072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 8959072320 is about 94652.3761983818. The cubic root of 8959072320 is about 2076.9259571217.

The spelling of 8959072320 in words is "eight billion, nine hundred fifty-nine million, seventy-two thousand, three hundred twenty".