Nikon S6400 has a
16.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized BSI-CMOS sensor and features Expeed C2 processor. On the other hand, Olympus SP-565UZ has a
10.0MP 1/2.3-inch (6.08 x 4.56 mm ) sized CCD sensor .
Nikon S6400's sensor provides 6MP more than Olympus SP-565UZ's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the S6400 and SP-565UZ sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon S6400 and Olympus SP-565UZ Cameras
Nikon S6400 and Olympus SP-565UZ have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Nikon S6400
or the
Olympus SP-565UZ ,
including hyperfocal distance.