4866881760 has 288 divisors, whose sum is σ = 18550153440. Its totient is φ = 1197877248.

The previous prime is 4866881741. The next prime is 4866881791. The reversal of 4866881760 is 671886684.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4866881697 and 4866881706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500626 + ... + 510254.

It is an arithmetic number, because the mean of its divisors is an integer number (64410255).

Almost surely, 2^4866881760 is an apocalyptic number.

4866881760 is a gapful number since it is divisible by the number (40) 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 4866881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275076720).

4866881760 is an abundant number, since it is smaller than the sum of its proper divisors (13683271680).

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

4866881760 is a wasteful number, since it uses less digits than its factorization.

4866881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4866881760 is about 69763.0400713730. The cubic root of 4866881760 is about 1694.6639791266.

The spelling of 4866881760 in words is "four billion, eight hundred sixty-six million, eight hundred eighty-one thousand, seven hundred sixty".