Not sure what you mean by row name, I have assumed you mean number!
Both formulas need to be array-entered, meaning that you press Ctrl-Shft-Enter after you type or paste it in. The below is for column A: The formula is in B1
=INDEX(A:A,MAX((A:A<>"")*(ROW(A:A))))
This will give you the value in the last cell in the column
=MAX(ROW(A:A)*(A:A<>""))
This will give you the last row number in the column
Both work with alpha, Numerical and blanks and update as you enter new data.
If you put =CELL(address) in to a cell near to your data so that you can see without scrolling then it will all ways display the last cell that data was entered into.