7968862688697 has 12 divisors (see below), whose sum is σ = 11520227886804. Its totient is φ = 5308121996160.

The previous prime is 7968862688669. The next prime is 7968862688707.

7968862688697 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1933089806736 + 6035772881961 = 1390356^2 + 2456781^2 .

It is not a de Polignac number, because 7968862688697 - 2⁷ = 7968862688569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7968862188697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371082804 + ... + 371104277.

It is an arithmetic number, because the mean of its divisors is an integer number (960018990567).

Almost surely, 2^{7968862688697} is an apocalyptic number.

It is an amenable number.

7968862688697 is a deficient number, since it is larger than the sum of its proper divisors (3551365198107).

7968862688697 is a wasteful number, since it uses less digits than its factorization.

7968862688697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742188280 (or 742188277 counting only the distinct ones).

The product of its digits is 42138206208, while the sum is 90.

The spelling of 7968862688697 in words is "seven trillion, nine hundred sixty-eight billion, eight hundred sixty-two million, six hundred eighty-eight thousand, six hundred ninety-seven".