682833783704224 has 72 divisors (see below), whose sum is σ = 1428554928003840. Its totient is φ = 321221919845376.

The previous prime is 682833783704197. The next prime is 682833783704323. The reversal of 682833783704224 is 422407387338286.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 682833783704224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13801819 + ... + 39448165.

It is an arithmetic number, because the mean of its divisors is an integer number (19841040666720).

Almost surely, 2^{682833783704224} 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 682833783704224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714277464001920).

682833783704224 is an abundant number, since it is smaller than the sum of its proper divisors (745721144299616).

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

682833783704224 is a wasteful number, since it uses less digits than its factorization.

682833783704224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25649270 (or 25649245 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 67.

The spelling of 682833783704224 in words is "six hundred eighty-two trillion, eight hundred thirty-three billion, seven hundred eighty-three million, seven hundred four thousand, two hundred twenty-four".