966786687669 has 32 divisors (see below), whose sum is σ = 1529196955776. Its totient is φ = 536560312320.

The previous prime is 966786687641. The next prime is 966786687677.

966786687669 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 966786687669 - 2¹¹ = 966786685621 is a prime.

It is a super-2 number, since 2×966786687669² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 966786687591 and 966786687600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966786687569) by changing a digit.

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, 23267452 + ... + 23308965.

It is an arithmetic number, because the mean of its divisors is an integer number (47787404868).

Almost surely, 2^966786687669 is an apocalyptic number.

It is an amenable number.

966786687669 is a deficient number, since it is larger than the sum of its proper divisors (562410268107).

966786687669 is a wasteful number, since it uses less digits than its factorization.

966786687669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46576485.

The product of its digits is 11851370496, while the sum is 84.

The spelling of 966786687669 in words is "nine hundred sixty-six billion, seven hundred eighty-six million, six hundred eighty-seven thousand, six hundred sixty-nine".