In addition to making the current moon 'jealous', it is difficult to say exactly the entire effect that 66 new moons will cause to Earth.
This number is close to the number of Jupiter moons that humans know. We can observe this huge planet and guess what happens, as well as its feasibility.
By 2018, humans have identified 79 moons of Jupiter, of which there are only 4 super-big moons. Many moons of the rest only have a diameter of less than 10km. Earth's moon diameter is about 3500km so 66 such moons will occupy huge space. Jupiter is also much larger than Earth and has a stronger magnetic field, allowing more moons to exist.
With these factors, the ability of the Earth will not be able to withstand if there are 66 more objects like the current moon. However, if the Earth has more moons, assuming that is feasible, it will affect such factors as: tides . Because the moon is the main cause of this phenomenon.
The tide will be more unusual or more frequent. Many moons can also lead to many solar eclipses . In addition, the orbits of these moons will make the launch of the ship to space significantly more difficult when every time they have to wriggle through them.