8221625568 has 216 divisors, whose sum is σ = 26138548800. Its totient is φ = 2447677440.

The previous prime is 8221625557. The next prime is 8221625569. The reversal of 8221625568 is 8655261228.

It is a happy number.

8221625568 is a `hidden beast` number, since 8 + 2 + 21 + 62 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221625569) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1506108 + ... + 1511556.

It is an arithmetic number, because the mean of its divisors is an integer number (121011800).

Almost surely, 2^8221625568 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 8221625568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069274400).

8221625568 is an abundant number, since it is smaller than the sum of its proper divisors (17916923232).

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

8221625568 is a wasteful number, since it uses less digits than its factorization.

8221625568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5498 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 8221625568 is about 90673.1799817344. The cubic root of 8221625568 is about 2018.3008264328.

The spelling of 8221625568 in words is "eight billion, two hundred twenty-one million, six hundred twenty-five thousand, five hundred sixty-eight".