681205732185600 has 1920 divisors, whose sum is σ = 2607056783400960. Its totient is φ = 174031110144000.

The previous prime is 681205732185529. The next prime is 681205732185619. The reversal of 681205732185600 is 6581237502186.

681205732185600 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 0 + 5 + 7 + 3 + 21 + 8 + 5 + 600 = 666.

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 (54).

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 191 ways as a sum of consecutive naturals, for example, 498321676117 + ... + 498321677483.

It is an arithmetic number, because the mean of its divisors is an integer number (1357842074688).

Almost surely, 2^{681205732185600} is an apocalyptic number.

681205732185600 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 681205732185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303528391700480).

681205732185600 is an abundant number, since it is smaller than the sum of its proper divisors (1925851051215360).

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

681205732185600 is a wasteful number, since it uses less digits than its factorization.

681205732185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

Adding to 681205732185600 its reverse (6581237502186), we get a palindrome (687786969687786).

The spelling of 681205732185600 in words is "six hundred eighty-one trillion, two hundred five billion, seven hundred thirty-two million, one hundred eighty-five thousand, six hundred".