8068564224 has 324 divisors, whose sum is σ = 28074699744. Its totient is φ = 2304433152.

The previous prime is 8068564219. The next prime is 8068564241. The reversal of 8068564224 is 4224658608.

8068564224 is a `hidden beast` number, since 8 + 0 + 68 + 564 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 8068564224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046869 + ... + 3049515.

Almost surely, 2^8068564224 is an apocalyptic number.

8068564224 is a gapful number since it is divisible by the number (84) 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 8068564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037349872).

8068564224 is an abundant number, since it is smaller than the sum of its proper divisors (20006135520).

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

8068564224 is an equidigital number, since it uses as much as digits as its factorization.

8068564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8068564224 is about 89825.1870245757. The cubic root of 8068564224 is about 2005.6974395129.

The spelling of 8068564224 in words is "eight billion, sixty-eight million, five hundred sixty-four thousand, two hundred twenty-four".