8283642560 has 112 divisors (see below), whose sum is σ = 19964351232. Its totient is φ = 3273600000.

The previous prime is 8283642557. The next prime is 8283642599. The reversal of 8283642560 is 652463828.

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 15 ways as a sum of consecutive naturals, for example, 12127979 + ... + 12128661.

It is an arithmetic number, because the mean of its divisors is an integer number (178253136).

Almost surely, 2^8283642560 is an apocalyptic number.

8283642560 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 8283642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982175616).

8283642560 is an abundant number, since it is smaller than the sum of its proper divisors (11680708672).

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

8283642560 is a wasteful number, since it uses less digits than its factorization.

8283642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 8283642560 is about 91014.5184022857. The cubic root of 8283642560 is about 2023.3629046706.

The spelling of 8283642560 in words is "eight billion, two hundred eighty-three million, six hundred forty-two thousand, five hundred sixty".