8422282368 has 256 divisors, whose sum is σ = 25903104000. Its totient is φ = 2691118080.

The previous prime is 8422282339. The next prime is 8422282397. The reversal of 8422282368 is 8632822248.

8422282368 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 282 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (8422282339) and next prime (8422282397).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13605963 + ... + 13606581.

It is an arithmetic number, because the mean of its divisors is an integer number (101184000).

Almost surely, 2^8422282368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8422282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951552000).

8422282368 is an abundant number, since it is smaller than the sum of its proper divisors (17480821632).

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

8422282368 is a wasteful number, since it uses less digits than its factorization.

8422282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 782 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 8422282368 is about 91772.9936746100. The cubic root of 8422282368 is about 2034.5885645448.

The spelling of 8422282368 in words is "eight billion, four hundred twenty-two million, two hundred eighty-two thousand, three hundred sixty-eight".