4855261824 has 480 divisors, whose sum is σ = 17728048800. Its totient is φ = 1311593472.

The previous prime is 4855261813. The next prime is 4855261849. The reversal of 4855261824 is 4281625584.

4855261824 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 2 + 618 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4855261824.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652357 + ... + 9652859.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^4855261824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4855261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864024400).

4855261824 is an abundant number, since it is smaller than the sum of its proper divisors (12872786976).

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

4855261824 is a wasteful number, since it uses less digits than its factorization.

4855261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 534 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 4855261824 is about 69679.7088398050. The cubic root of 4855261824 is about 1693.3142045634.

The spelling of 4855261824 in words is "four billion, eight hundred fifty-five million, two hundred sixty-one thousand, eight hundred twenty-four".