9678666668769 has 96 divisors (see below), whose sum is σ = 16994010249216. Its totient is φ = 5181757194240.

The previous prime is 9678666668753. The next prime is 9678666668771.

9678666668769 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9678666668769 - 2⁴ = 9678666668753 is a prime.

It is a super-2 number, since 2×9678666668769² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9678666658769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892284304 + ... + 892295150.

It is an arithmetic number, because the mean of its divisors is an integer number (177020940096).

Almost surely, 2^{9678666668769} is an apocalyptic number.

It is an amenable number.

9678666668769 is a deficient number, since it is larger than the sum of its proper divisors (7315343580447).

9678666668769 is a wasteful number, since it uses less digits than its factorization.

9678666668769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14575 (or 14572 counting only the distinct ones).

The product of its digits is 71108222976, while the sum is 90.

The spelling of 9678666668769 in words is "nine trillion, six hundred seventy-eight billion, six hundred sixty-six million, six hundred sixty-eight thousand, seven hundred sixty-nine".