4879307160 has 960 divisors, whose sum is σ = 21682425600. Its totient is φ = 960740352.

The previous prime is 4879307149. The next prime is 4879307161. The reversal of 4879307160 is 617039784.

4879307160 is a `hidden beast` number, since 487 + 9 + 3 + 0 + 7 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879307161) 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 239 ways as a sum of consecutive naturals, for example, 72825447 + ... + 72825513.

It is an arithmetic number, because the mean of its divisors is an integer number (22585860).

Almost surely, 2^4879307160 is an apocalyptic number.

4879307160 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 4879307160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841212800).

4879307160 is an abundant number, since it is smaller than the sum of its proper divisors (16803118440).

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

4879307160 is a wasteful number, since it uses less digits than its factorization.

4879307160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4879307160 is about 69852.0376223915. The cubic root of 4879307160 is about 1696.1049417013.

The spelling of 4879307160 in words is "four billion, eight hundred seventy-nine million, three hundred seven thousand, one hundred sixty".