8391720960 has 512 divisors, whose sum is σ = 34224998400. Its totient is φ = 1911029760.

The previous prime is 8391720947. The next prime is 8391720971. The reversal of 8391720960 is 690271938.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

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, 30965625 + ... + 30965895.

It is an arithmetic number, because the mean of its divisors is an integer number (66845700).

Almost surely, 2^8391720960 is an apocalyptic number.

8391720960 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 8391720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112499200).

8391720960 is an abundant number, since it is smaller than the sum of its proper divisors (25833277440).

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

8391720960 is an equidigital number, since it uses as much as digits as its factorization.

8391720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8391720960 is about 91606.3368987102. The cubic root of 8391720960 is about 2032.1246539355.

The spelling of 8391720960 in words is "eight billion, three hundred ninety-one million, seven hundred twenty thousand, nine hundred sixty".