217667712266768 has 80 divisors (see below), whose sum is σ = 440903266384896. Its totient is φ = 103904228588160.

The previous prime is 217667712266737. The next prime is 217667712266843. The reversal of 217667712266768 is 867662217766712.

It is a junction number, because it is equal to n+sod(n) for n = 217667712266695 and 217667712266704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3712472813 + ... + 3712531443.

Almost surely, 2^{217667712266768} 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 217667712266768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220451633192448).

217667712266768 is an abundant number, since it is smaller than the sum of its proper divisors (223235554118128).

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

217667712266768 is a wasteful number, since it uses less digits than its factorization.

217667712266768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77652 (or 77646 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 74.

The spelling of 217667712266768 in words is "two hundred seventeen trillion, six hundred sixty-seven billion, seven hundred twelve million, two hundred sixty-six thousand, seven hundred sixty-eight".