Do you mean 6600mAh? In relation to a battery this would mean a capacity of 6600 milli-Ampere hours. In other words the battery can supply 6600mA for 1 hour.
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The second one should roughly last twice as long as the first one. You can't really say how long as it depends what you are using the computer for, but whatever you are doing the second one will always last about twice as long.
mAh = milliamp hours, which is battery capacity
That would depend on the actual battery's specifications. I've seen some D cells rated as low as ~2000 mAh. However a full true D cell should have a rating between 10,000 mAh and 15,000 mAh.
These figures represent capacities of use for batteries. If a device uses 50 mA an hour on a 800 mAH battery, the device would operate for 16 hours before depleting the battery. If the same device was connected to a 700 mAH battery, the device would operate for 14 hours before depleting the battery.
probably, yes. imagine putting twice a much AA's in your radio or whatever.