681828589440 has 512 divisors, whose sum is σ = 2543080320000. Its totient is φ = 172309192704.

The previous prime is 681828589423. The next prime is 681828589469. The reversal of 681828589440 is 44985828186.

681828589440 is a `hidden beast` number, since 6 + 8 + 1 + 8 + 2 + 8 + 589 + 4 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 43313091 + ... + 43328829.

It is an arithmetic number, because the mean of its divisors is an integer number (4966953750).

Almost surely, 2^681828589440 is an apocalyptic number.

681828589440 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 681828589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271540160000).

681828589440 is an abundant number, since it is smaller than the sum of its proper divisors (1861251730560).

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

681828589440 is a wasteful number, since it uses less digits than its factorization.

681828589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15899 (or 15881 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 681828589440 in words is "six hundred eighty-one billion, eight hundred twenty-eight million, five hundred eighty-nine thousand, four hundred forty".