A couple plans to retire in 35 years. At that time, they would like to have enough money in an account so that they can receive a $6,000 every month end for the next 30 years. The account earns 9% annual interest compounded monthly and will continue to do so until there is a zero balance in the account.

To achieve this goal, how much money does the couple need to have in this account by the time they retire?