Planck energy is roughly 2 billion joules, which is about what you take on in chemical energy when you tank up the car.
The Planck mass is mite-sized, a flea with that mass would look like a speck, not too different the period in some type-fonts. The Planck unit of energy is what would result from converting that mite-sized bit of mass into energy.
The natural mass unit is simply SQRT ( h-bar c/G) and the energy unit is what you get by multiplying by c2, namely SQRT ( h-bar c5/G).
h-bar, c, and G are not going away. They'll be here when our species has evolved into something else or vanished and Planck energy, because it's the energy arising from those things, will not go away either. It's the unit of energy which is intrinsic to light and gravity.
One way to think about why the Planck energy formula is what it is:
Planck force c4/G is obvious everywhere in the universe since it connects the curvature of a region to the concentation of mass-energy there. Indeed Planck force is the central constant in one of the principal equations of GenRel. So that makes Planck power pretty obvious too, namely c5/G.
But then h-bar connects power to the square of frequency. So Planck frequency is just SQRT(c5/Gh-bar) and h-bar times the frequency is Planck energy, as we said earlier SQRT( h-bar c5/G)
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