866807967168 has 1344 divisors, whose sum is σ = 3176999813120. Its totient is φ = 232794777600.

The previous prime is 866807967163. The next prime is 866807967227. The reversal of 866807967168 is 861769708668.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 866807967096 and 866807967105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866807967161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6825259521 + ... + 6825259647.

Almost surely, 2^866807967168 is an apocalyptic number.

866807967168 is a gapful number since it is divisible by the number (88) 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 866807967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588499906560).

866807967168 is an abundant number, since it is smaller than the sum of its proper divisors (2310191845952).

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

866807967168 is a wasteful number, since it uses less digits than its factorization.

866807967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 866807967168 in words is "eight hundred sixty-six billion, eight hundred seven million, nine hundred sixty-seven thousand, one hundred sixty-eight".