#define _GLIBCXX_FILESYSTEM
#include<bits/stdc++.h>
using namespace std;
#define ll long long
const int N = 1e7+2,mod = 1e9+7;

int spf[N],cnt[N];
void solve() {
    for(int i = 2; i < N; i++)
        spf[i] = i;
    for(int i = 2; i < N; i++) {
        if(spf[i] == i) {
            for(int j = 2*i; j < N; j += i) {
                if(spf[j] == j) spf[j] = i;
            }
        }
    }
    int n;
    cin >> n;
    for(int i = 0; i < n; i++) {
        int x;
        cin >> x;
        while(x > 1) {
            cnt[spf[x]]++;
            x /= spf[x];
        }
    }
    ll ans = 1;
    for(int i = 2; i < N; i++) {
        ans *= 1ll * (cnt[i]+1);
        ans %= mod;
    }
    cout << ans;
    return;
}

int32_t main() {
    ios_base::sync_with_stdio(false);cin.tie(NULL);
    int tc = 1;
    // cin >> tc;
    for(int kase = 1; kase <= tc; kase++) {
        //cout << "Case " << kase << ": ";
        solve();
    }
    return 0;
}