966585729676 has 24 divisors (see below), whose sum is σ = 1933606031616. Its totient is φ = 414157904400.

The previous prime is 966585729673. The next prime is 966585729721. The reversal of 966585729676 is 676927585669.

966585729676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (966585729671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3753256 + ... + 4002511.

It is an arithmetic number, because the mean of its divisors is an integer number (80566917984).

Almost surely, 2^966585729676 is an apocalyptic number.

It is an amenable number.

966585729676 is an abundant number, since it is smaller than the sum of its proper divisors (967020301940).

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

966585729676 is a wasteful number, since it uses less digits than its factorization.

966585729676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760229 (or 7760227 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 76.

The spelling of 966585729676 in words is "nine hundred sixty-six billion, five hundred eighty-five million, seven hundred twenty-nine thousand, six hundred seventy-six".