As a German I would guess the travel time might be between 5 and 6 hours, strongly depending on the time when you're traveling. There are some of the most crowded parts in Germany on your route.
If you're not strongly limited with time for your stay I would suggest to stop in between and see something of Germany ... Stuttgart: MB Museum or even better: Porsche Museum ... old cute German cities nearby ... have some German dishes ... take some roaded through the countryside ... 550 km on the Highway might sound nice but could be boring if there is too much traffic ...
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