4884384960 has 336 divisors, whose sum is σ = 20678339136. Its totient is φ = 1030496256.

The previous prime is 4884384931. The next prime is 4884384977. The reversal of 4884384960 is 694834884.

4884384960 is a `hidden beast` number, since 48 + 84 + 38 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4884384897 and 4884384906.

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, 252762 + ... + 271398.

It is an arithmetic number, because the mean of its divisors is an integer number (61542676).

Almost surely, 2^4884384960 is an apocalyptic number.

4884384960 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 4884384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339169568).

4884384960 is an abundant number, since it is smaller than the sum of its proper divisors (15793954176).

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

4884384960 is a wasteful number, since it uses less digits than its factorization.

4884384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18680 (or 18667 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 4884384960 is about 69888.3749989939. The cubic root of 4884384960 is about 1696.6931055193.

The spelling of 4884384960 in words is "four billion, eight hundred eighty-four million, three hundred eighty-four thousand, nine hundred sixty".