682014014800 has 30 divisors (see below), whose sum is σ = 1638538671518. Its totient is φ = 272805605760.

The previous prime is 682014014791. The next prime is 682014014813. The reversal of 682014014800 is 8410410286.

It can be written as a sum of positive squares in 3 ways, for example, as 6343166736 + 675670848064 = 79644^2 + 821992^2 .

It is a super-2 number, since 2×682014014800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 852517119 + ... + 852517918.

Almost surely, 2^682014014800 is an apocalyptic number.

It is an amenable number.

682014014800 is an abundant number, since it is smaller than the sum of its proper divisors (956524656718).

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

682014014800 is a wasteful number, since it uses less digits than its factorization.

682014014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705035055 (or 1705035044 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 682014014800 in words is "six hundred eighty-two billion, fourteen million, fourteen thousand, eight hundred".