6731810066688 has 576 divisors, whose sum is σ = 21299506905600. Its totient is φ = 1886335008768.

The previous prime is 6731810066627. The next prime is 6731810066689. The reversal of 6731810066688 is 8866600181376.

It is not an unprimeable number, because it can be changed into a prime (6731810066689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3788299656 + ... + 3788301432.

It is an arithmetic number, because the mean of its divisors is an integer number (36978310600).

Almost surely, 2^{6731810066688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6731810066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649753452800).

6731810066688 is an abundant number, since it is smaller than the sum of its proper divisors (14567696838912).

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

6731810066688 is a wasteful number, since it uses less digits than its factorization.

6731810066688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 6731810066688 in words is "six trillion, seven hundred thirty-one billion, eight hundred ten million, sixty-six thousand, six hundred eighty-eight".