6568242240 has 336 divisors, whose sum is σ = 25539192000. Its totient is φ = 1422102528.

The previous prime is 6568242203. The next prime is 6568242251. The reversal of 6568242240 is 422428656.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6568242240² = 86283612246640435200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890086 + ... + 897434.

It is an arithmetic number, because the mean of its divisors is an integer number (76009500).

Almost surely, 2^6568242240 is an apocalyptic number.

6568242240 is a gapful number since it is divisible by the number (60) 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 6568242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769596000).

6568242240 is an abundant number, since it is smaller than the sum of its proper divisors (18970949760).

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

6568242240 is a wasteful number, since it uses less digits than its factorization.

6568242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7402 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 6568242240 is about 81044.6928552388. The cubic root of 6568242240 is about 1872.7640062147.

The spelling of 6568242240 in words is "six billion, five hundred sixty-eight million, two hundred forty-two thousand, two hundred forty".