7969517568 has 156 divisors (see below), whose sum is σ = 23460334560. Its totient is φ = 2605744128.

The previous prime is 7969517527. The next prime is 7969517597. The reversal of 7969517568 is 8657159697.

7969517568 is a `hidden beast` number, since 7 + 9 + 69 + 5 + 1 + 7 + 568 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1951753 + ... + 1955831.

It is an arithmetic number, because the mean of its divisors is an integer number (150386760).

Almost surely, 2^7969517568 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 7969517568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730167280).

7969517568 is an abundant number, since it is smaller than the sum of its proper divisors (15490816992).

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

7969517568 is a wasteful number, since it uses less digits than its factorization.

7969517568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4137 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The square root of 7969517568 is about 89272.1544939966. The cubic root of 7969517568 is about 1997.4565641716.

The spelling of 7969517568 in words is "seven billion, nine hundred sixty-nine million, five hundred seventeen thousand, five hundred sixty-eight".