680933584969 has 9 divisors (see below), whose sum is σ = 748474165831. Its totient is φ = 619022279920.

The previous prime is 680933584951. The next prime is 680933584993. The reversal of 680933584969 is 969485339086.

The square root of 680933584969 is 825187.

It is a perfect power (a square), and thus also a powerful number.

680933584969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 160100015625 + 520833569344 = 400125^2 + 721688^2 .

It is not a de Polignac number, because 680933584969 - 2³⁵ = 646573846601 is a prime.

It is a super-3 number, since 3×680933584969³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 680933584898 and 680933584907.

It is not an unprimeable number, because it can be changed into a prime (680933584909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9039549 + ... + 9114565.

Almost surely, 2^680933584969 is an apocalyptic number.

680933584969 is the 825187-th square number.

680933584969 is the 412594-th centered octagonal number.

It is an amenable number.

680933584969 is a deficient number, since it is larger than the sum of its proper divisors (67540580862).

680933584969 is an frugal number, since it uses more digits than its factorization.

680933584969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150056 (or 75028 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 70.

The spelling of 680933584969 in words is "six hundred eighty billion, nine hundred thirty-three million, five hundred eighty-four thousand, nine hundred sixty-nine".