import java.util.Arrays;
import java.util.Scanner;

class Main {
	public static void main(String[] args) throws Exception {
		Scanner sc=new Scanner(System.in);
		int M=sc.nextInt();
		new Main().run(M);
	}
	
	final long MOD=(long)1e9+7;
	
	long pow(long a,long n) {
		n=(n%(MOD-1)+(MOD-1))%(MOD-1);
		long ret=1;
		for(;n>0;n>>=1,a=a*a%MOD)if(n%2==1)ret=ret*a%MOD;
		return ret;
	}
	
	long inv(long a) {
		return pow(a,MOD-2);
	}
	
	// \prod (Z/p^k[i]Z)^u[i]
	// dp[i1][i2][i3]= \sum u[i]k[i], p^(i2), \sum u[i]

	long solve(long p,int e) {
		long[][][] dp=new long[e+1][e+2][e+1];
		dp[0][e+1][0]=1;
		for(int sumKU=0;sumKU<e;++sumKU) {
			for(int k=e+1;k>=1;--k) {
				for(int sumU=0;sumU<e;++sumU) {
					if(dp[sumKU][k][sumU]==0)continue;
					for(int nk=k-1;nk>=1;--nk) {
						for(int nu=1;sumKU+nk*nu<=e;++nu) {
							//(Z/p^nk)^nu
							long add=pow(p,nk*nu*sumU);
							for(int m=0;m<nu;++m) {
								add*=(pow(p,nk*nu)-pow(p,nu*(nk-1)+m))%MOD*pow(p,nk*sumU)%MOD;
								add%=MOD;
							}
							dp[sumKU+nk*nu][nk][sumU+nu]+=inv(add)*dp[sumKU][k][sumU]%MOD;
							dp[sumKU+nk*nu][nk][sumU+nu]%=MOD;
						}
					}					
				}
			}
		}
		long ret=0;
		for(int i=1;i<=e;++i)
			for(int j=1;j<=e;++j)
				ret=(ret+dp[e][i][j])%MOD;
		ret=(ret%MOD+MOD)%MOD;
		return ret;
	}
	
	void run(int M) {
		long fac=1;
		for(long i=1;i<=M;++i)fac=fac*i%MOD;
		long ans=1;
		for(long div=2;div<=M;++div) {
			int e=0;
			while(M%div==0) {
				M/=div;
				++e;
			}
			if(e>0) ans=ans*solve(div,e)%MOD;
		}
		ans=ans*fac%MOD;
		System.out.println(ans);
	}
	
	static void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}
	
}