682464544944000 has 4608 divisors, whose sum is σ = 3168019433255040. Its totient is φ = 128354313830400.

The previous prime is 682464544943999. The next prime is 682464544944029. The reversal of 682464544944000 is 449445464286.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 187644910182 + ... + 187644913818.

Almost surely, 2^{682464544944000} is an apocalyptic number.

682464544944000 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 682464544944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584009716627520).

682464544944000 is an abundant number, since it is smaller than the sum of its proper divisors (2485554888311040).

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

682464544944000 is a wasteful number, since it uses less digits than its factorization.

682464544944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 60.

The spelling of 682464544944000 in words is "six hundred eighty-two trillion, four hundred sixty-four billion, five hundred forty-four million, nine hundred forty-four thousand".