  In this work, we show that one can select different types of Hypergeometric
approximants for the resummation of divergent series with different large-order
growth factors. Being of $n!$ growth factor, the divergent series for the
$\varepsilon$-expansion of the critical exponents of the $O(N)$-symmetric model
is approximated by the Hypergeometric functions $_{k+1}F_{k-1}$. The divergent
$_{k+1}F_{k-1}$ functions are then resummed using their equivalent Meijer-G
function representation. The convergence of the resummation results for the
exponents $\nu$,\ $\eta$ and $\omega$ has been shown to improve systematically
in going from low order to the highest known six-loops order. Our six-loops
resummation results are very competitive to the recent six-loops Borel with
conformal mapping predictions and to recent Monte Carlo simulation results. To
show that precise results extend for high $N$ values, we listed the five-loops
results for $\nu$ which are very accurate as well. The recent seven-loops order
($g$-series) for the renormalization group functions $\beta,\gamma_{\phi^2}$
and $\gamma_{m^2}$ have been resummed too. Accurate predictions for the
critical coupling and the exponents $\nu$, $\eta$ and $\omega$ have been
extracted from $\beta$,$\gamma_{\phi^2}$ and $\gamma_{m^2}$ approximants.
