6.67 x 10^-11 x 6.4174 x 10^23 / (3.3895 x 10^6)^2

$${\mathtt{6.67}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{\,-\,}}{\frac{{\mathtt{11}}{\mathtt{\,\times\,}}{\mathtt{6.417\: \!4}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{23}}}}{{\left({\mathtt{3.389\: \!5}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{6}}}\right)}^{{\mathtt{2}}}}}} = {\mathtt{0}}$$

No it is not really zero - it is a really, really tiny positive number    

its zero dude or dudette