how many times the earth travels around the earth?

The earth does not travel around the earth. That's impossible!

how many times the earth travel around the sun?

Once each year. The Earth is about 4.5 billion years old, so about 4.5 billion times.

It seems like you're asking how many times the Earth travels around the Earth, but that statement is not clear. The Earth cannot travel around itself. However, if you're referring to how many times the Earth orbits around the Sun, then that can be calculated using some information.

To find out how many times the Earth orbits around the Sun, you need to know the Earth's orbital period and the duration of one Earth year. The Earth's orbital period, also known as its sidereal year, is approximately 365.25 days. This means that it takes about 365.25 days for the Earth to complete one orbit around the Sun.

To calculate how many times the Earth completes its orbit, you can divide the duration of one Earth year by the orbital period. So, if we assume a year is 365.25 days, we can do the following calculation:

Number of orbits = Duration of one Earth year / Earth's orbital period
= 365.25 days / 365.25 days
= 1 orbit

Therefore, the Earth completes one orbit around the Sun in one Earth year.