4841784864 has 432 divisors, whose sum is σ = 16761064320. Its totient is φ = 1320883200.

The previous prime is 4841784851. The next prime is 4841784911. The reversal of 4841784864 is 4684871484.

4841784864 is a `hidden beast` number, since 484 + 1 + 7 + 84 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4841784864.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47938414 + ... + 47938514.

It is an arithmetic number, because the mean of its divisors is an integer number (38798760).

Almost surely, 2^4841784864 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 4841784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380532160).

4841784864 is an abundant number, since it is smaller than the sum of its proper divisors (11919279456).

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

4841784864 is a wasteful number, since it uses less digits than its factorization.

4841784864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 4841784864 is about 69582.9351493597. The cubic root of 4841784864 is about 1691.7460175752.

The spelling of 4841784864 in words is "four billion, eight hundred forty-one million, seven hundred eighty-four thousand, eight hundred sixty-four".