681669966186 has 96 divisors (see below), whose sum is σ = 1631076108480. Its totient is φ = 204030816000.

The previous prime is 681669966143. The next prime is 681669966193.

681669966186 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8338486 + ... + 8419838.

It is an arithmetic number, because the mean of its divisors is an integer number (16990376130).

Almost surely, 2^681669966186 is an apocalyptic number.

681669966186 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 681669966186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815538054240).

681669966186 is an abundant number, since it is smaller than the sum of its proper divisors (949406142294).

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

681669966186 is a wasteful number, since it uses less digits than its factorization.

681669966186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81892 (or 81889 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 681669966186 in words is "six hundred eighty-one billion, six hundred sixty-nine million, nine hundred sixty-six thousand, one hundred eighty-six".