It's older than 70s since no alpha character precedes first digit of serial number. If all original, look at the barrel for an oval stamp with 2 digits and a letter, the letter will tell you what decade rifle was manufactured.
1957 = I
1958 = J
1959 = K
1960 = M
1961 = N
1962 = O
1963 = P
1964 = Q
1965 = R
1966 = S
1967 = T
1968 = U*
(* used only until Savage started adding an alpha character preceding serial numbers in compliance with the 1968 Gun Control Act. See this article if your rifle does not have an oval barrel stamp as described above).
Don't know twist rate but you can get very close using a tight fitting patch and marking your cleaning rod. ;-)
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