7940568768 has 224 divisors, whose sum is σ = 24234282240. Its totient is φ = 2269347840.

The previous prime is 7940568763. The next prime is 7940568773. The reversal of 7940568768 is 8678650497.

It is an interprime number because it is at equal distance from previous prime (7940568763) and next prime (7940568773).

It is not an unprimeable number, because it can be changed into a prime (7940568763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17375196 + ... + 17375652.

It is an arithmetic number, because the mean of its divisors is an integer number (108188760).

Almost surely, 2^7940568768 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 7940568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117141120).

7940568768 is an abundant number, since it is smaller than the sum of its proper divisors (16293713472).

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

7940568768 is a wasteful number, since it uses less digits than its factorization.

7940568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The square root of 7940568768 is about 89109.8690830595. The cubic root of 7940568768 is about 1995.0350823285.

The spelling of 7940568768 in words is "seven billion, nine hundred forty million, five hundred sixty-eight thousand, seven hundred sixty-eight".