682429355856 has 200 divisors, whose sum is σ = 2002111794144. Its totient is φ = 224379866880.

The previous prime is 682429355851. The next prime is 682429355897. The reversal of 682429355856 is 658553924286.

682429355856 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 29 + 3 + 558 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 682429355793 and 682429355802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682429355851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72818851 + ... + 72828221.

Almost surely, 2^682429355856 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 682429355856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001055897072).

682429355856 is an abundant number, since it is smaller than the sum of its proper divisors (1319682438288).

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

682429355856 is a wasteful number, since it uses less digits than its factorization.

682429355856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10136 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 63.

The spelling of 682429355856 in words is "six hundred eighty-two billion, four hundred twenty-nine million, three hundred fifty-five thousand, eight hundred fifty-six".