A game is played with a deck of cards all numbered with either 2, 3, 5, or 7 spots. The point value of a card is its number of spots, unless it is a red card, in which case the point value of the card is 13. In one instance, ten cards are drawn from the container. If the product of the point values of the removed cards is 5,733,000, how many black 7-spot cards were drawn?