8482410720 has 384 divisors, whose sum is σ = 34358446080. Its totient is φ = 1938276864.

The previous prime is 8482410689. The next prime is 8482410733. The reversal of 8482410720 is 270142848.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2447709 + ... + 2451171.

It is an arithmetic number, because the mean of its divisors is an integer number (89475120).

Almost surely, 2^8482410720 is an apocalyptic number.

8482410720 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 8482410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179223040).

8482410720 is an abundant number, since it is smaller than the sum of its proper divisors (25876035360).

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

8482410720 is an equidigital number, since it uses as much as digits as its factorization.

8482410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8482410720 is about 92100.0039087947. The cubic root of 8482410720 is about 2039.4188656100.

The spelling of 8482410720 in words is "eight billion, four hundred eighty-two million, four hundred ten thousand, seven hundred twenty".