6686116866 has 256 divisors, whose sum is σ = 18349632000. Its totient is φ = 1776660480.

The previous prime is 6686116849. The next prime is 6686116907.

6686116866 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16347270 + ... + 16347678.

It is an arithmetic number, because the mean of its divisors is an integer number (71678250).

Almost surely, 2^6686116866 is an apocalyptic number.

6686116866 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 6686116866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174816000).

6686116866 is an abundant number, since it is smaller than the sum of its proper divisors (11663515134).

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

6686116866 is a wasteful number, since it uses less digits than its factorization.

6686116866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6686116866 is about 81768.6790036381. The cubic root of 6686116866 is about 1883.9006144579.

The spelling of 6686116866 in words is "six billion, six hundred eighty-six million, one hundred sixteen thousand, eight hundred sixty-six".