if __name__=='__main__':
    mod = int(1e9+7)
    n = int(input())
    primes = {}

    for i in range(n):
        x = int(input())
        #分解质因数
        i = 2
        while i <= x/i:
            while x % i == 0:
                x //= i   #也可以写成 x = int(x / i)  python的bug  但不能直接写成 x/=i
                if i in primes: #检查字典中是否存过
                    primes[i] += 1
                else:
                    primes[i] = 1
            i+=1
        if x > 1 :
            if x in primes: #检查字典中是否存过
                primes[x] += 1
            else:
                primes[x] = 1

    res = 1
    for p in primes:
        t = 1
        for i in range(primes[p]):
            t = (t * p + 1)
        res = res * t

    print(int(res% mod))