Concept:
Hybridization depends on the steric number:
\[
\text{Steric number} = \text{Number of sigma bonds} + \text{lone pairs}
\]
The steric number determines the hybridization.
Step 1: Determine the bonding in \(SF_6\).
Sulfur forms six sigma bonds with six fluorine atoms.
\[
\text{Number of sigma bonds} = 6
\]
\[
\text{Lone pairs on S} = 0
\]
Step 2: Find the steric number.
\[
SN = 6
\]
Step 3: Determine the hybridization.
For steric number \(6\):
\[
\text{Hybridization} = sp^3d^2
\]
Thus,
\[
\boxed{sp^3d^2}
\]