682334625168000 has 4096 divisors, whose sum is σ = 2991557836800000. Its totient is φ = 152775383040000.

The previous prime is 682334625167989. The next prime is 682334625168013. The reversal of 682334625168000 is 861526433286.

682334625168000 is a `hidden beast` number, since 6 + 8 + 2 + 3 + 3 + 4 + 625 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

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

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 511 ways as a sum of consecutive naturals, for example, 1900653551821 + ... + 1900653552179.

It is an arithmetic number, because the mean of its divisors is an integer number (730360800000).

Almost surely, 2^{682334625168000} is an apocalyptic number.

682334625168000 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 682334625168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495778918400000).

682334625168000 is an abundant number, since it is smaller than the sum of its proper divisors (2309223211632000).

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

682334625168000 is a wasteful number, since it uses less digits than its factorization.

682334625168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 682334625168000 in words is "six hundred eighty-two trillion, three hundred thirty-four billion, six hundred twenty-five million, one hundred sixty-eight thousand".