682827868160 has 96 divisors (see below), whose sum is σ = 1639208680200. Its totient is φ = 272994140160.

The previous prime is 682827868159. The next prime is 682827868187. The reversal of 682827868160 is 61868728286.

682827868160 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 4 ways, for example, as 483926139904 + 198901728256 = 695648^2 + 445984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 682827868093 and 682827868102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21785300 + ... + 21816620.

Almost surely, 2^682827868160 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 682827868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819604340100).

682827868160 is an abundant number, since it is smaller than the sum of its proper divisors (956380812040).

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

682827868160 is a wasteful number, since it uses less digits than its factorization.

682827868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33477 (or 33457 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 62.

The spelling of 682827868160 in words is "six hundred eighty-two billion, eight hundred twenty-seven million, eight hundred sixty-eight thousand, one hundred sixty".