682809393651840 has 2560 divisors, whose sum is σ = 3111643713024000. Its totient is φ = 138802391285760.

The previous prime is 682809393651839. The next prime is 682809393651857. The reversal of 682809393651840 is 48156393908286.

It is a happy number.

682809393651840 is a `hidden beast` number, since 6 + 8 + 2 + 8 + 0 + 9 + 39 + 36 + 518 + 40 = 666.

It is a super-2 number, since 2×682809393651840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 33489096366 + ... + 33489116754.

It is an arithmetic number, because the mean of its divisors is an integer number (1215485825400).

Almost surely, 2^{682809393651840} is an apocalyptic number.

682809393651840 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 682809393651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555821856512000).

682809393651840 is an abundant number, since it is smaller than the sum of its proper divisors (2428834319372160).

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

682809393651840 is a wasteful number, since it uses less digits than its factorization.

682809393651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20700 (or 20679 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 682809393651840 in words is "six hundred eighty-two trillion, eight hundred nine billion, three hundred ninety-three million, six hundred fifty-one thousand, eight hundred forty".