I would think that it depends on the individual; for example, if they have organs that are injured or affected by disease / systemic deterioration. In the case of death by natural causes, when the heart and lungs begin to cease, the brain starts to become unresponsive from being deprived of oxygen. It is the first organ to "shutdown". It only takes 3-5 minutes for the brain to suffer irreversible damage as its demand for oxygen is very high. Other organs fail at different rates and may be used for donation. The heart and lungs remain viable for 4-5 hours, the liver for 12-24 hours, the pancreas for 12-15 hours, and the kidneys for 36-48 hours. With all that being said, I believe that the kidneys are typically the last vital organs to shut off. However, again, it all depends on the individual.
In organ retrieval kidneys are the last to be retrieved hours after the heart has been removed
Kidney, they also survive longer outside the body. Longer for example than the heart, lungs or liver.
