Can you fill the blank with the correct number?

6 30 870 756030 _____

One day, all the courtiers from Akbar's court were gathered in the assembly hall when one of them told the Emperor that all his valuables had been stolen by a thief the previous night.
This shocked the Emperor to his core as the place where that courter stayed was the most secured in the kingdom. The Emperor thought that it is not at all possible for an outsider to enter into the courtier's house and steal the valuables. Only another courtier could commit this crime. He quickly called Birbal to identify the thief.
Birbal thought for a while and successfully solved the mystery by identifying the thief in just one statement.
What did Birbal say?

How many times do a clock's hands overlap in a day ?

What is more useful when it is broken?

John can place six large boxes or nine small boxes into a carton.

Can you find out in how many cartons can he place sixty-six boxes in total?

The doctor advised his patient to take a tablet after every fifteen minutes. He gave him five tablets in total.

How much time will he take to have all the five tablets?

I am quite hot but become too cold if you remove the first two letters. What am I?

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

Can you think of any three-dimensional shape that comprises of exactly two surfaces?

Can you find out who is the kidnapper in below Picture and why, Explain ?