866733337668 has 96 divisors (see below), whose sum is σ = 2255902709760. Its totient is φ = 256746637440.

The previous prime is 866733337597. The next prime is 866733337741.

866733337668 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×866733337668³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 866733337599 and 866733337608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5058855 + ... + 5227377.

It is an arithmetic number, because the mean of its divisors is an integer number (23498986560).

Almost surely, 2^866733337668 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 866733337668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127951354880).

866733337668 is an abundant number, since it is smaller than the sum of its proper divisors (1389169372092).

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

866733337668 is a wasteful number, since it uses less digits than its factorization.

866733337668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169417 (or 169415 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 66.

The spelling of 866733337668 in words is "eight hundred sixty-six billion, seven hundred thirty-three million, three hundred thirty-seven thousand, six hundred sixty-eight".