6684464644866 has 144 divisors (see below), whose sum is σ = 15053255217000. Its totient is φ = 2143492761600.

The previous prime is 6684464644817. The next prime is 6684464644867.

6684464644866 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 464 + 64 + 48 + 66 = 666.

6684464644866 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 5755320950625 + 929143694241 = 2399025^2 + 963921^2 .

It is a super-3 number, since 3×6684464644866³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6684464644794 and 6684464644803.

It is not an unprimeable number, because it can be changed into a prime (6684464644867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2431597260 + ... + 2431600008.

Almost surely, 2^{6684464644866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6684464644866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526627608500).

6684464644866 is an abundant number, since it is smaller than the sum of its proper divisors (8368790572134).

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

6684464644866 is a wasteful number, since it uses less digits than its factorization.

6684464644866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3869 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 72.

The spelling of 6684464644866 in words is "six trillion, six hundred eighty-four billion, four hundred sixty-four million, six hundred forty-four thousand, eight hundred sixty-six".