8482256720 has 90 divisors (see below), whose sum is σ = 22956648426. Its totient is φ = 2906225280.

The previous prime is 8482256701. The next prime is 8482256789. The reversal of 8482256720 is 276522848.

It can be written as a sum of positive squares in only one way, i.e., 6785805376 + 1696451344 = 82376^2 + 41188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5765585 + ... + 5767055.

Almost surely, 2^8482256720 is an apocalyptic number.

8482256720 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 8482256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478324213).

8482256720 is an abundant number, since it is smaller than the sum of its proper divisors (14474391706).

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

8482256720 is an equidigital number, since it uses as much as digits as its factorization.

8482256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 8482256720 is about 92099.1678572613. The cubic root of 8482256720 is about 2039.4065235052.

The spelling of 8482256720 in words is "eight billion, four hundred eighty-two million, two hundred fifty-six thousand, seven hundred twenty".