4871002760 has 64 divisors (see below), whose sum is σ = 11814692400. Its totient is φ = 1796714496.

The previous prime is 4871002723. The next prime is 4871002769. The reversal of 4871002760 is 672001784.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1658607076 + 3212395684 = 40726^2 + 56678^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4871002760.

It is not an unprimeable number, because it can be changed into a prime (4871002769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 582932 + ... + 591228.

Almost surely, 2^4871002760 is an apocalyptic number.

4871002760 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 4871002760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907346200).

4871002760 is an abundant number, since it is smaller than the sum of its proper divisors (6943689640).

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

4871002760 is a wasteful number, since it uses less digits than its factorization.

4871002760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 4871002760 is about 69792.5695185383. The cubic root of 4871002760 is about 1695.1421593655.

The spelling of 4871002760 in words is "four billion, eight hundred seventy-one million, two thousand, seven hundred sixty".