Lucky Lottery Probability

A lottery draws 6 balls at random (without replacement) from an urn containing 70 balls labeled 1 through 70. Your ticket also has 6 distinct numbers, chosen uniformly at random from 1 to 70. You win if at least 5 of your 6 numbers match the 6 drawn balls (order does not matter). 1. Find the probability $p$ of winning. 2. Report $p \times 10^6$, rounded to the nearest hundredth.