682646952960 has 1056 divisors, whose sum is σ = 2834319301632. Its totient is φ = 154315653120.

The previous prime is 682646952917. The next prime is 682646952991. The reversal of 682646952960 is 69259646286.

682646952960 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 46 + 9 + 529 + 60 = 666.

682646952960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897038980 + ... + 897039740.

Almost surely, 2^682646952960 is an apocalyptic number.

682646952960 is a gapful number since it is divisible by the number (60) 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 682646952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417159650816).

682646952960 is an abundant number, since it is smaller than the sum of its proper divisors (2151672348672).

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

682646952960 is a wasteful number, since it uses less digits than its factorization.

682646952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 682646952960 in words is "six hundred eighty-two billion, six hundred forty-six million, nine hundred fifty-two thousand, nine hundred sixty".