682793017344 has 448 divisors, whose sum is σ = 2138272462080. Its totient is φ = 217570738176.

The previous prime is 682793017303. The next prime is 682793017369. The reversal of 682793017344 is 443710397286.

682793017344 is a `hidden beast` number, since 68 + 279 + 301 + 7 + 3 + 4 + 4 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412064964 + ... + 412066620.

Almost surely, 2^682793017344 is an apocalyptic number.

682793017344 is a gapful number since it is divisible by the number (64) 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 682793017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069136231040).

682793017344 is an abundant number, since it is smaller than the sum of its proper divisors (1455479444736).

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

682793017344 is an frugal number, since it uses more digits than its factorization.

682793017344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 682793017344 in words is "six hundred eighty-two billion, seven hundred ninety-three million, seventeen thousand, three hundred forty-four".