4813424784 has 160 divisors (see below), whose sum is σ = 15815456000. Its totient is φ = 1373054976.

The previous prime is 4813424743. The next prime is 4813424813. The reversal of 4813424784 is 4874243184.

4813424784 is a `hidden beast` number, since 48 + 134 + 2 + 478 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3231912 + ... + 3233400.

It is an arithmetic number, because the mean of its divisors is an integer number (98846600).

Almost surely, 2^4813424784 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 4813424784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907728000).

4813424784 is an abundant number, since it is smaller than the sum of its proper divisors (11002031216).

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

4813424784 is a wasteful number, since it uses less digits than its factorization.

4813424784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2570 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 4813424784 is about 69378.8496877831. The cubic root of 4813424784 is about 1688.4364919431.

The spelling of 4813424784 in words is "four billion, eight hundred thirteen million, four hundred twenty-four thousand, seven hundred eighty-four".