681838782329952 has 576 divisors, whose sum is σ = 2127751835489280. Its totient is φ = 205855926681600.

The previous prime is 681838782329917. The next prime is 681838782329953. The reversal of 681838782329952 is 259923287838186.

681838782329952 is a `hidden beast` number, since 6 + 8 + 183 + 8 + 78 + 232 + 99 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681838782329953) 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, 55710328249 + ... + 55710340487.

It is an arithmetic number, because the mean of its divisors is an integer number (3694013603280).

Almost surely, 2^{681838782329952} 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 681838782329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063875917744640).

681838782329952 is an abundant number, since it is smaller than the sum of its proper divisors (1445913053159328).

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

681838782329952 is a wasteful number, since it uses less digits than its factorization.

681838782329952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13667 (or 13656 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 681838782329952 in words is "six hundred eighty-one trillion, eight hundred thirty-eight billion, seven hundred eighty-two million, three hundred twenty-nine thousand, nine hundred fifty-two".