6568224768 has 384 divisors, whose sum is σ = 22643712000. Its totient is φ = 1842462720.

The previous prime is 6568224749. The next prime is 6568224769. The reversal of 6568224768 is 8674228656.

6568224768 is a `hidden beast` number, since 6 + 568 + 2 + 2 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6568224769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27481993 + ... + 27482231.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 2^6568224768 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 6568224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856000).

6568224768 is an abundant number, since it is smaller than the sum of its proper divisors (16075487232).

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

6568224768 is a wasteful number, since it uses less digits than its factorization.

6568224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 6568224768 is about 81044.5850627912. The cubic root of 6568224768 is about 1872.7623456506.

It can be divided in two parts, 656 and 8224768, that added together give a square (8225424 = 2868²).

The spelling of 6568224768 in words is "six billion, five hundred sixty-eight million, two hundred twenty-four thousand, seven hundred sixty-eight".