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The Difference between Amount ,quantity and number
Use amount of before singular things you cannot measure. For example:

• A large amount of disdain

Use quantity of before a singular (and sometimes plural) thing you can measure, particularly if it’s inanimate. For example:

• A large quantity of money

Use number of before plural things you can measure. For example:

• A large number of coins

There are subtle differences between amount of, quantity of and number of.

Aditional information
The Number vs. A Number
The expression the number is followed by a singular verb while the expression a number is followed by a plural verb.
Examples:
The number of people we need to hire is thirteen.
A number of people have written in about this subject.
Pop Quiz
Choose the correct word in each sentence.
1. The number of people lined up for tickets was/were four hundred.
2. A number of suggestions was/were made.
3. There is/are a number of important announcements in the bulletin.
4. Here is/are the number of milk shakes you requested.
Pop Quiz Answers
1. The number of people lined up for tickets was four hundred.
2. A number of suggestions were made.
3. There are a number of important announcements in the bulletin.
4. Here is the number of milk shakes you requested.

amount An amount of something is how much of it there is that you can measure. Amount is normally uncountable, so we CANNOT say: 'a large amount of cows were infected.' But we would say: The amount of work I got through in July was double the amount that I did in June. No amount of love would heal the hatred she felt. I had a certain amount of respect for him: he was a good footballer and a good ambassador for his country.