680634900036 has 243 divisors, whose sum is σ = 2168621620893. Its totient is φ = 179389304640.

The previous prime is 680634900013. The next prime is 680634900047. The reversal of 680634900036 is 630009436086.

The square root of 680634900036 is 825006.

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

680634900036 is a `hidden beast` number, since 6 + 8 + 0 + 634 + 9 + 0 + 0 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100685636100 + 579949263936 = 317310^2 + 761544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 680634899964 and 680634900000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 450452521 + ... + 450454031.

Almost surely, 2^680634900036 is an apocalyptic number.

680634900036 is the 825006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680634900036

680634900036 is an abundant number, since it is smaller than the sum of its proper divisors (1487986720857).

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

680634900036 is a wasteful number, since it uses less digits than its factorization.

680634900036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 680634900036 in words is "six hundred eighty billion, six hundred thirty-four million, nine hundred thousand, thirty-six".