682921520824320 has 1920 divisors, whose sum is σ = 2590567347475800. Its totient is φ = 172079651487744.

The previous prime is 682921520824273. The next prime is 682921520824321. The reversal of 682921520824320 is 23428025129286.

682921520824320 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 2 + 1 + 520 + 82 + 4 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 624286603689984 + 58634917134336 = 24985728^2 + 7657344^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682921520824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 624813833694 + ... + 624813834786.

Almost surely, 2^{682921520824320} is an apocalyptic number.

682921520824320 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 682921520824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295283673737900).

682921520824320 is an abundant number, since it is smaller than the sum of its proper divisors (1907645826651480).

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

682921520824320 is an equidigital number, since it uses as much as digits as its factorization.

682921520824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 682921520824320 in words is "six hundred eighty-two trillion, nine hundred twenty-one billion, five hundred twenty million, eight hundred twenty-four thousand, three hundred twenty".