681189465600 has 720 divisors, whose sum is σ = 2795104664352. Its totient is φ = 155194490880.

The previous prime is 681189465563. The next prime is 681189465611. The reversal of 681189465600 is 6564981186.

681189465600 is a `hidden beast` number, since 6 + 8 + 118 + 9 + 465 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 284658004 + ... + 284660396.

Almost surely, 2^681189465600 is an apocalyptic number.

681189465600 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 681189465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397552332176).

681189465600 is an abundant number, since it is smaller than the sum of its proper divisors (2113915198752).

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

681189465600 is a wasteful number, since it uses less digits than its factorization.

681189465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 681189465600 in words is "six hundred eighty-one billion, one hundred eighty-nine million, four hundred sixty-five thousand, six hundred".