4506720768 has 480 divisors, whose sum is σ = 15282146880. Its totient is φ = 1313832960.

The previous prime is 4506720767. The next prime is 4506720781. The reversal of 4506720768 is 8670276054.

4506720768 is a `hidden beast` number, since 4 + 506 + 72 + 0 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4506720767) 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, 50637268 + ... + 50637356.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^4506720768 is an apocalyptic number.

4506720768 is a gapful number since it is divisible by the number (48) 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 4506720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

4506720768 is an abundant number, since it is smaller than the sum of its proper divisors (10775426112).

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

4506720768 is an equidigital number, since it uses as much as digits as its factorization.

4506720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4506720768 is about 67132.1142822122. The cubic root of 4506720768 is about 1651.7851225384.

The spelling of 4506720768 in words is "four billion, five hundred six million, seven hundred twenty thousand, seven hundred sixty-eight".