682789029074688 has 288 divisors, whose sum is σ = 1828341347123200. Its totient is φ = 226207777517568.

The previous prime is 682789029074653. The next prime is 682789029074693. The reversal of 682789029074688 is 886470920987286.

It is a self number, because there is not a number n which added to its sum of digits gives 682789029074688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164171440353 + ... + 164171444511.

Almost surely, 2^{682789029074688} 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 682789029074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914170673561600).

682789029074688 is an abundant number, since it is smaller than the sum of its proper divisors (1145552318048512).

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

682789029074688 is a wasteful number, since it uses less digits than its factorization.

682789029074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 84.

The spelling of 682789029074688 in words is "six hundred eighty-two trillion, seven hundred eighty-nine billion, twenty-nine million, seventy-four thousand, six hundred eighty-eight".