682340242253184 has 320 divisors, whose sum is σ = 2067439793364000. Its totient is φ = 223351370293248.

The previous prime is 682340242253107. The next prime is 682340242253231. The reversal of 682340242253184 is 481352242043286.

682340242253184 is a `hidden beast` number, since 6 + 8 + 2 + 3 + 4 + 0 + 2 + 4 + 22 + 531 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 682340242253184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171353437 + ... + 175290275.

Almost surely, 2^{682340242253184} is an apocalyptic number.

682340242253184 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 682340242253184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033719896682000).

682340242253184 is an abundant number, since it is smaller than the sum of its proper divisors (1385099551110816).

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

682340242253184 is a wasteful number, since it uses less digits than its factorization.

682340242253184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937167 (or 3937146 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 682340242253184 in words is "six hundred eighty-two trillion, three hundred forty billion, two hundred forty-two million, two hundred fifty-three thousand, one hundred eighty-four".