The divisibility rule of 6 is that when the given number is divisible by both 2 & 3 then it is also divisible by 6.
[tex]\rule{300pt}{3pt}[/tex]
[tex]60714298[/tex]
[tex]60714298 \\ 6 + 0 + 7 + 1 + 4 + 2 + 9 + 8 = 27 \\ 27 \div 3 = 9[/tex]
The number is divisible by both 2 & 3. Thus, making it divisible by 6 also.