4679285760 has 264 divisors, whose sum is σ = 16818577776. Its totient is φ = 1247477760.

The previous prime is 4679285747. The next prime is 4679285789. The reversal of 4679285760 is 675829764.

4679285760 is a `hidden beast` number, since 4 + 67 + 9 + 2 + 8 + 576 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4679285697 and 4679285706.

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, 1242280 + ... + 1246040.

It is an arithmetic number, because the mean of its divisors is an integer number (63706734).

Almost surely, 2^4679285760 is an apocalyptic number.

4679285760 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 4679285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409288888).

4679285760 is an abundant number, since it is smaller than the sum of its proper divisors (12139292016).

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

4679285760 is an equidigital number, since it uses as much as digits as its factorization.

4679285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4679285760 is about 68405.3050574296. The cubic root of 4679285760 is about 1672.6042244366.

The spelling of 4679285760 in words is "four billion, six hundred seventy-nine million, two hundred eighty-five thousand, seven hundred sixty".