Just a few things which may help: 1)There is the 'natural' system of units in which c=1, and is dimensionless. A device to simplify calculations in which c crops up like measles! The trade-off, however, is that there is no 'table' to easily return to mks, etc. It's a bit sticky. 2)The question of its absolute value is certainly valid, but far more intriguing is how does it come to be that two observers, one at rest and the other spinning, zooming, and twirling in any which way, measure the speed and always get the same, exact result? 3)Finally, an anectdote(true story). A prominent physicist once toured the 'Clock' of all clocks deep within a mountain in Colorado. He remarked, "So this is where the 'gold standard' of time is set, eh?". His guide matter-of-factly replied, "No. This is where we measure a thing which you, in turn, call 'Time'. "What's in a number? That which we call Time, by any other value would 'smell as sweet'. Exactly!"