8482720960 has 224 divisors, whose sum is σ = 24017264640. Its totient is φ = 2792448000.

The previous prime is 8482720949. The next prime is 8482720997. The reversal of 8482720960 is 690272848.

It is a tau number, because it is divible by the number of its divisors (224).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8482720960.

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, 10485036 + ... + 10485844.

Almost surely, 2^8482720960 is an apocalyptic number.

8482720960 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 8482720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008632320).

8482720960 is an abundant number, since it is smaller than the sum of its proper divisors (15534543680).

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

8482720960 is a wasteful number, since it uses less digits than its factorization.

8482720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 8482720960 is about 92101.6881495665. The cubic root of 8482720960 is about 2039.4437288875.

The spelling of 8482720960 in words is "eight billion, four hundred eighty-two million, seven hundred twenty thousand, nine hundred sixty".