4871826960 has 480 divisors, whose sum is σ = 20646928512. Its totient is φ = 934133760.

The previous prime is 4871826959. The next prime is 4871826977. The reversal of 4871826960 is 696281784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680232 + ... + 1683128.

Almost surely, 2^4871826960 is an apocalyptic number.

4871826960 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 4871826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323464256).

4871826960 is an abundant number, since it is smaller than the sum of its proper divisors (15775101552).

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

4871826960 is a wasteful number, since it uses less digits than its factorization.

4871826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 4871826960 is about 69798.4739088184. The cubic root of 4871826960 is about 1695.2377630459.

The spelling of 4871826960 in words is "four billion, eight hundred seventy-one million, eight hundred twenty-six thousand, nine hundred sixty".