{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE BinaryLiterals #-}
{-# LANGUAGE MultiWayIf #-}
{-# LANGUAGE NumDecimals #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TupleSections #-}

import Control.Applicative
import Control.Arrow
import Control.Monad
import Control.Monad.ST

import Data.Char
import Data.List
import Data.Maybe

import qualified Data.ByteString.Char8 as B

import Data.Array.ST.Safe
import Data.STRef

import Debug.Trace
import Text.Printf

readInt = readLn :: IO Int
readInts = map ( fst . fromJust . B.readInt ) . B.words <$> B.getLine
readNInts = readInt >>= flip replicateM readInt

which a b f = if f then a else b
mp [ a, b ] = ( a, b )

main = readInt >>= print . foldl mul 1 . map ( fromIntegral . succ . length ) . group . sort . concatMap factorization . flip take [ 1 .. ]

factorization = f 2
	where
		f d x
			| x == 1 = []
			| x `mod` d  == 0 = d : f d ( x `div` d )
			| otherwise = f ( succ d ) x

mul :: Integer -> Integer -> Integer
mul a b = a * b `mod` 1000000007