682528047621120 has 1408 divisors, whose sum is σ = 2525581137784320. Its totient is φ = 174652831825920.

The previous prime is 682528047621071. The next prime is 682528047621131. The reversal of 682528047621120 is 21126740825286.

682528047621120 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 2 + 8 + 0 + 4 + 7 + 621 + 1 + 2 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152316009280 + ... + 152316013760.

It is an arithmetic number, because the mean of its divisors is an integer number (1793736603540).

Almost surely, 2^{682528047621120} is an apocalyptic number.

682528047621120 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 682528047621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262790568892160).

682528047621120 is an abundant number, since it is smaller than the sum of its proper divisors (1843053090163200).

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

682528047621120 is a wasteful number, since it uses less digits than its factorization.

682528047621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 682528047621120 in words is "six hundred eighty-two trillion, five hundred twenty-eight billion, forty-seven million, six hundred twenty-one thousand, one hundred twenty".