681676744000 has 448 divisors, whose sum is σ = 2055135214080. Its totient is φ = 218645299200.

The previous prime is 681676743947. The next prime is 681676744039. The reversal of 681676744000 is 447676186.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164693931 + ... + 164698069.

Almost surely, 2^681676744000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681676744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027567607040).

681676744000 is an abundant number, since it is smaller than the sum of its proper divisors (1373458470080).

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

681676744000 is a wasteful number, since it uses less digits than its factorization.

681676744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 681676744000 in words is "six hundred eighty-one billion, six hundred seventy-six million, seven hundred forty-four thousand".