Is $n=6$ the only integer satisfying phenomenal properties in number theory ? if yes then why?

Question

From the background I read about the properties of integer $n=6$ ,I find that its satisfying many interesting properties , In particular in number theory , $n=6$ is the first perfect number and all prime numer are of the form $ 6m+1 \text{or} 6m-1$, $n=6$ is the only multiperfect number wich satisfying periodicity with small period , The solution of fermat last theorem for rational exponent need the denominator to be divisible by 6, and one can check this background about group theory and others area of mathematics He would find a huge property of that integer , My question here is :Is $n=6$ the only integer satisfying phenomenal properties in number theory ?if yes then why ?