"Most women guess their breasts weigh about five pounds each. In actuality, that number is closer to one pound. It's difficult to accurately weigh the breast, because it's so incorporated into your body core, but if you want to try at home, the best way is to use a kitchen scale that can be placed at the exact height of your breast so that you don't add any of your other body weight by bending too much. While there is no definitive answer on average breast weight, but you will probably discover each breast weighs somewhere in the neighborhood of one pound." [1]
So if we say 1 pound each, that's 2 pounds per woman. Using a health perspective, let's calculate for females 15 years and older. [2]
With 7 billion people in the world... - approximately 50% of whom are women [3] - approximately 74% of whom are physically mature [2]
...I calculate 5.18 billion pounds or 2.35 billion kilograms or 2.59M short tons of mammary tissue.
This mass is equivalent to approximately four (4) times the mass of the largest ship and largest mobile man-made object, Seawise Giant, when fully loaded.[4]
Tragically, some breast mass is lost to treatment for breast cancer and even war crimes. Conversely, breast mass would be increased by the rise of obesity in some first world countries.