Solution
The logic here is
$$64=4^3$$
$$1000=10^3$$
$$4096=16^3$$ and
$$512=8^3$$
$$2744=14^3$$
$$8000=20^3$$
The difference is 6
Similarly,
$$216=6^3$$
$$1728=12^3$$
$$5832=18^3$$
$$\therefore\ $$The required number is 5832
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