676675088964 has 336 divisors, whose sum is σ = 2055484118016. Its totient is φ = 190835870400.

The previous prime is 676675088941. The next prime is 676675088981. The reversal of 676675088964 is 469880576676.

676675088964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 676675088892 and 676675088901.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1072384929 + ... + 1072385559.

It is an arithmetic number, because the mean of its divisors is an integer number (6117512256).

Almost surely, 2^676675088964 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 676675088964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027742059008).

676675088964 is an abundant number, since it is smaller than the sum of its proper divisors (1378809029052).

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

676675088964 is a wasteful number, since it uses less digits than its factorization.

676675088964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 676675088964 in words is "six hundred seventy-six billion, six hundred seventy-five million, eighty-eight thousand, nine hundred sixty-four".