682795835938656 has 576 divisors, whose sum is σ = 2249437145469696. Its totient is φ = 194162857574400.

The previous prime is 682795835938651. The next prime is 682795835938861. The reversal of 682795835938656 is 656839538597286.

It is a happy number.

682795835938656 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 9 + 5 + 8 + 3 + 593 + 8 + 6 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682795835938651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37481235660 + ... + 37481253876.

It is an arithmetic number, because the mean of its divisors is an integer number (3905272821996).

Almost surely, 2^{682795835938656} is an apocalyptic number.

682795835938656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682795835938656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124718572734848).

682795835938656 is an abundant number, since it is smaller than the sum of its proper divisors (1566641309531040).

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

682795835938656 is a wasteful number, since it uses less digits than its factorization.

682795835938656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20275 (or 20264 counting only the distinct ones).

The product of its digits is 141087744000, while the sum is 90.

The spelling of 682795835938656 in words is "six hundred eighty-two trillion, seven hundred ninety-five billion, eight hundred thirty-five million, nine hundred thirty-eight thousand, six hundred fifty-six".