If approximately \(70 \% \) of the Earth's surface is covered with water, what is the **order of magnitude** for the number of raindrops in the world's oceans?

Hint: The order of magnitude of \(2478 = 2.478 \times 10^{3}\) is \(3\).

**Details and assumptions**

- The earth's radius is \(6380~\mbox{km}\).
- The radius of a raindrop is \(1~\mbox{mm}\); raindrops can be approximated to be spherical.
- The average ocean depth is \(2~\mbox{km}\).

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