8224284672 has 336 divisors, whose sum is σ = 25966399680. Its totient is φ = 2571927552.

The previous prime is 8224284671. The next prime is 8224284709. The reversal of 8224284672 is 2764824228.

It is not an unprimeable number, because it can be changed into a prime (8224284671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79847373 + ... + 79847475.

Almost surely, 2^8224284672 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 8224284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983199840).

8224284672 is an abundant number, since it is smaller than the sum of its proper divisors (17742115008).

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

8224284672 is a wasteful number, since it uses less digits than its factorization.

8224284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 127 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 8224284672 is about 90687.8419194106. The cubic root of 8224284672 is about 2018.5183946522.

The spelling of 8224284672 in words is "eight billion, two hundred twenty-four million, two hundred eighty-four thousand, six hundred seventy-two".