Contractable 

A contraction, unlike most contractions, that can be made into another contraction with a contraction.
Shouldn't + can't = shan't

There for, both the words "shouldn't" and "can't", are contractables.

Man, I don't know how to use contractable in a sentence.

Contractable by TREEDOM VELLACROIX October 7, 2018

Contactable 

able to be communicated with, even when away from usual activities or location.

Nikki wasn't at school today but she had her i-phone so she was still contactable.
or
Students are advised to keep a copy of their project and remain contactable in case a rewrite is requested.

Contactable by SkinnyTBean June 17, 2011