681381866880 has 2048 divisors, whose sum is σ = 3119026176000. Its totient is φ = 137952460800.

The previous prime is 681381866873. The next prime is 681381866911. The reversal of 681381866880 is 88668183186.

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 255 ways as a sum of consecutive naturals, for example, 1079844165 + ... + 1079844795.

It is an arithmetic number, because the mean of its divisors is an integer number (1522962000).

Almost surely, 2^681381866880 is an apocalyptic number.

681381866880 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 681381866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559513088000).

681381866880 is an abundant number, since it is smaller than the sum of its proper divisors (2437644309120).

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

681381866880 is a wasteful number, since it uses less digits than its factorization.

681381866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 681381866880 in words is "six hundred eighty-one billion, three hundred eighty-one million, eight hundred sixty-six thousand, eight hundred eighty".