Concept:
Hybridization depends on the steric number, which is the total number of sigma bonds and lone pairs around the central atom.
\[
\text{Steric number} = \text{number of bonded atoms} + \text{lone pairs}
\]
Step 1: Identify bonding in \(SF_6\).
Sulfur is the central atom and forms bonds with six fluorine atoms.
\[
\text{Number of } \sigma \text{ bonds} = 6
\]
\[
\text{Lone pairs on sulfur} = 0
\]
Step 2: Determine steric number.
\[
\text{Steric number} = 6
\]
Step 3: Determine hybridization.
Steric number \(6\) corresponds to
\[
sp^3d^2
\]
This gives an octahedral geometry.
Thus, the hybridization of sulfur in \(SF_6\) is
\[
\boxed{sp^3d^2}
\]