7968386568 has 128 divisors (see below), whose sum is σ = 21002941440. Its totient is φ = 2515968000.

The previous prime is 7968386519. The next prime is 7968386597. The reversal of 7968386568 is 8656838697.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7968386499 and 7968386508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15294148 + ... + 15294668.

It is an arithmetic number, because the mean of its divisors is an integer number (164085480).

Almost surely, 2^7968386568 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 7968386568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501470720).

7968386568 is an abundant number, since it is smaller than the sum of its proper divisors (13034554872).

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

7968386568 is a wasteful number, since it uses less digits than its factorization.

7968386568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 955 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The square root of 7968386568 is about 89265.8197072093. The cubic root of 7968386568 is about 1997.3620695244.

The spelling of 7968386568 in words is "seven billion, nine hundred sixty-eight million, three hundred eighty-six thousand, five hundred sixty-eight".