partition = [1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176, 231, 297, 385, 490, 627]

def factorize(n):
    factors = {}
    while n % 2 == 0:
        factors[2] = factors.get(2, 0) + 1
        n = n // 2
    i = 3
    while i * i <= n:
        while n % i == 0:
            factors[i] = factors.get(i, 0) + 1
            n = n // i
        i += 2
    if n > 1:
        factors[n] = 1
    return factors

M = int(input())
if M == 0:
    print(0)
else:
    factors = factorize(M)
    c = 1
    for k in factors.values():
        c *= partition[k]
    MOD = 10**9 + 7
    result = pow(M, c, MOD)
    print(result)