4861891584 has 264 divisors, whose sum is σ = 15455668800. Its totient is φ = 1459814400.

The previous prime is 4861891579. The next prime is 4861891609. The reversal of 4861891584 is 4851981684.

It is a happy number.

4861891584 is a `hidden beast` number, since 4 + 8 + 618 + 9 + 15 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4861891584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20173704 + ... + 20173944.

It is an arithmetic number, because the mean of its divisors is an integer number (58544200).

Almost surely, 2^4861891584 is an apocalyptic number.

4861891584 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 4861891584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727834400).

4861891584 is an abundant number, since it is smaller than the sum of its proper divisors (10593777216).

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

4861891584 is a wasteful number, since it uses less digits than its factorization.

4861891584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 4861891584 is about 69727.2657143531. The cubic root of 4861891584 is about 1694.0845825791.

The spelling of 4861891584 in words is "four billion, eight hundred sixty-one million, eight hundred ninety-one thousand, five hundred eighty-four".