A huge bowl contains many sweets.  On the first day, Kenneth ate $$\frac 17$$ of the number of sweets.  On the second day, he ate $$\frac{1}{6}$$ of the remaining number of sweets.  On the third day, he ate $$\frac 15$$ of the remaining number of sweets.  On the fourth day, he ate $$\frac 14$$ of the remaining number of sweets.  How many sweets were there in the bowl initially if there are $$6$$ sweets remaining after the fourth day? 
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