682820294307840 has 1664 divisors, whose sum is σ = 2651405626195200. Its totient is φ = 167768538218496.

The previous prime is 682820294307803. The next prime is 682820294307841. The reversal of 682820294307840 is 48703492028286.

682820294307840 is a `hidden beast` number, since 6 + 8 + 282 + 0 + 2 + 9 + 4 + 307 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682820294307841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622443294172 + ... + 622443295268.

Almost surely, 2^{682820294307840} is an apocalyptic number.

682820294307840 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 682820294307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325702813097600).

682820294307840 is an abundant number, since it is smaller than the sum of its proper divisors (1968585331887360).

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

682820294307840 is a wasteful number, since it uses less digits than its factorization.

682820294307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 682820294307840 in words is "six hundred eighty-two trillion, eight hundred twenty billion, two hundred ninety-four million, three hundred seven thousand, eight hundred forty".