4788521760 has 288 divisors, whose sum is σ = 17157510720. Its totient is φ = 1120430080.

The previous prime is 4788521729. The next prime is 4788521779. The reversal of 4788521760 is 671258874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682899 + ... + 1685741.

It is an arithmetic number, because the mean of its divisors is an integer number (59574690).

Almost surely, 2^4788521760 is an apocalyptic number.

4788521760 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 4788521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578755360).

4788521760 is an abundant number, since it is smaller than the sum of its proper divisors (12368988960).

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

4788521760 is a wasteful number, since it uses less digits than its factorization.

4788521760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 4788521760 is about 69199.1456594661. The cubic root of 4788521760 is about 1685.5196570414.

The spelling of 4788521760 in words is "four billion, seven hundred eighty-eight million, five hundred twenty-one thousand, seven hundred sixty".