681173088000 has 576 divisors, whose sum is σ = 2304269420544. Its totient is φ = 178329600000.

The previous prime is 681173087971. The next prime is 681173088061. The reversal of 681173088000 is 880371186.

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, 1580447785 + ... + 1580448215.

It is an arithmetic number, because the mean of its divisors is an integer number (4000467744).

Almost surely, 2^681173088000 is an apocalyptic number.

681173088000 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 681173088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152134710272).

681173088000 is an abundant number, since it is smaller than the sum of its proper divisors (1623096332544).

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

681173088000 is a wasteful number, since it uses less digits than its factorization.

681173088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 681173088000 in words is "six hundred eighty-one billion, one hundred seventy-three million, eighty-eight thousand".