4728180748800 has 480 divisors, whose sum is σ = 15982329065472. Its totient is φ = 1231643361280.

The previous prime is 4728180748787. The next prime is 4728180748801. The reversal of 4728180748800 is 88470818274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (4728180748801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059415369 + ... + 1059419831.

Almost surely, 2^{4728180748800} is an apocalyptic number.

4728180748800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728180748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991164532736).

4728180748800 is an abundant number, since it is smaller than the sum of its proper divisors (11254148316672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4728180748800 is a wasteful number, since it uses less digits than its factorization.

4728180748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 57.

The spelling of 4728180748800 in words is "four trillion, seven hundred twenty-eight billion, one hundred eighty million, seven hundred forty-eight thousand, eight hundred".