682910509680 has 960 divisors, whose sum is σ = 2844999336960. Its totient is φ = 147410565120.

The previous prime is 682910509679. The next prime is 682910509717. The reversal of 682910509680 is 86905019286.

It is a happy number.

682910509680 is a `hidden beast` number, since 68 + 2 + 9 + 10 + 509 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 624803214 + ... + 624804306.

It is an arithmetic number, because the mean of its divisors is an integer number (2963540976).

Almost surely, 2^682910509680 is an apocalyptic number.

682910509680 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 682910509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422499668480).

682910509680 is an abundant number, since it is smaller than the sum of its proper divisors (2162088827280).

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

682910509680 is a wasteful number, since it uses less digits than its factorization.

682910509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 682910509680 in words is "six hundred eighty-two billion, nine hundred ten million, five hundred nine thousand, six hundred eighty".