682481368800 has 2160 divisors, whose sum is σ = 3177968753232. Its totient is φ = 136559001600.

The previous prime is 682481368799. The next prime is 682481368801. The reversal of 682481368800 is 8863184286.

682481368800 is a `hidden beast` number, since 6 + 82 + 481 + 3 + 6 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (682481368799) and next prime (682481368801).

It is a super-2 number, since 2×682481368800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682481368801) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 7035890352 + ... + 7035890448.

Almost surely, 2^682481368800 is an apocalyptic number.

682481368800 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 682481368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588984376616).

682481368800 is an abundant number, since it is smaller than the sum of its proper divisors (2495487384432).

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

682481368800 is a wasteful number, since it uses less digits than its factorization.

682481368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 682481368800 in words is "six hundred eighty-two billion, four hundred eighty-one million, three hundred sixty-eight thousand, eight hundred".