682918218720 has 792 divisors, whose sum is σ = 2538230792328. Its totient is φ = 173537925120.

The previous prime is 682918218701. The next prime is 682918218727. The reversal of 682918218720 is 27812819286.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682918218727) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 15881819019 + ... + 15881819061.

It is an arithmetic number, because the mean of its divisors is an integer number (3204836859).

Almost surely, 2^682918218720 is an apocalyptic number.

682918218720 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 682918218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269115396164).

682918218720 is an abundant number, since it is smaller than the sum of its proper divisors (1855312573608).

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

682918218720 is an frugal number, since it uses more digits than its factorization.

682918218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 682918218720 in words is "six hundred eighty-two billion, nine hundred eighteen million, two hundred eighteen thousand, seven hundred twenty".