682463232000 has 1920 divisors, whose sum is σ = 2961470552040. Its totient is φ = 155713536000.

The previous prime is 682463231971. The next prime is 682463232023. The reversal of 682463232000 is 232364286.

682463232000 is a `hidden beast` number, since 68 + 246 + 32 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 296911650816 + 385551581184 = 544896^2 + 620928^2 .

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 (36).

It is an unprimeable number.

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, 40144895992 + ... + 40144896008.

Almost surely, 2^682463232000 is an apocalyptic number.

682463232000 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 682463232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480735276020).

682463232000 is an abundant number, since it is smaller than the sum of its proper divisors (2279007320040).

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

682463232000 is an equidigital number, since it uses as much as digits as its factorization.

682463232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 682463232000 its reverse (232364286), we get a palindrome (682695596286).

The spelling of 682463232000 in words is "six hundred eighty-two billion, four hundred sixty-three million, two hundred thirty-two thousand".