4880744960 has 480 divisors, whose sum is σ = 15223369392. Its totient is φ = 1486356480.

The previous prime is 4880744951. The next prime is 4880744987. The reversal of 4880744960 is 694470884.

It can be written as a sum of positive squares in 8 ways, for example, as 349839616 + 4530905344 = 18704^2 + 67312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4880744899 and 4880744908.

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, 66859484 + ... + 66859556.

Almost surely, 2^4880744960 is an apocalyptic number.

4880744960 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 4880744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611684696).

4880744960 is an abundant number, since it is smaller than the sum of its proper divisors (10342624432).

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

4880744960 is a wasteful number, since it uses less digits than its factorization.

4880744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 4880744960 is about 69862.3286185051. The cubic root of 4880744960 is about 1696.2715241079.

The spelling of 4880744960 in words is "four billion, eight hundred eighty million, seven hundred forty-four thousand, nine hundred sixty".