4872286584 has 288 divisors, whose sum is σ = 15664147200. Its totient is φ = 1352488320.

The previous prime is 4872286571. The next prime is 4872286621. The reversal of 4872286584 is 4856822784.

4872286584 is a `hidden beast` number, since 487 + 2 + 2 + 86 + 5 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4872286584.

It is a congruent number.

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, 58702207 + ... + 58702289.

It is an arithmetic number, because the mean of its divisors is an integer number (54389400).

Almost surely, 2^4872286584 is an apocalyptic number.

4872286584 is a gapful number since it is divisible by the number (44) 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 4872286584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832073600).

4872286584 is an abundant number, since it is smaller than the sum of its proper divisors (10791860616).

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

4872286584 is a wasteful number, since it uses less digits than its factorization.

4872286584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 165 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 4872286584 is about 69801.7663386823. The cubic root of 4872286584 is about 1695.2910727841.

The spelling of 4872286584 in words is "four billion, eight hundred seventy-two million, two hundred eighty-six thousand, five hundred eighty-four".