IF THE SUN DISAPPEAR TODAY,HOW LONG WOULD IT TAKE BEFORE EARTH WAS UNINHABITABLE?

If the Sun disappeared suddenly (don't ask how), people on Earth would not know of it for about eight minutes and nineteen seconds.
~ Earth normally experiences darkness half of each day and cools several tens of degrees. Now it would also cool during the other half so surface cooling is twice as rapid.
~ Within the first two days the air temperature would be so low that no moisture could remain in it. Without clouds the Earth's heat would radiate away more quickly.
~ Within four days all the Earths greenhouse gasses (water vapor, carbon dioxide, methane, nitrous oxide and ozone) in the atmosphere would have turned to a liquids and solids speeding the cooling even more.
Within one week all land areas would be frozen at least to a depth of 10 to 20 feet. The land would eventually freeze to a depth of about 1/3 to 2/3 of a mile. Except for the deepest areas, the oceans would freeze miles deep in less than a year. Near the ocean floor the water may not freeze because of Earth's internal heat.
Most animal and plant life would die when the atmosphere liquefies. Some single celled life forms would possibly continue to live deep in the Earth's crust (up to five miles) although the habitable zone may change dramatically and those life forms would not be capable of moving to better climes.Some life would continue at hydrothermal vents on the sea floor.