4789683360 has 1152 divisors, whose sum is σ = 22711207680. Its totient is φ = 936714240.

The previous prime is 4789683317. The next prime is 4789683401. The reversal of 4789683360 is 633869874.

4789683360 is a `hidden beast` number, since 478 + 96 + 83 + 3 + 6 + 0 = 666.

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 = 4789683297 and 4789683306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281746072 + ... + 281746088.

It is an arithmetic number, because the mean of its divisors is an integer number (19714590).

Almost surely, 2^4789683360 is an apocalyptic number.

4789683360 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 4789683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11355603840).

4789683360 is an abundant number, since it is smaller than the sum of its proper divisors (17921524320).

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

4789683360 is a wasteful number, since it uses less digits than its factorization.

4789683360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4789683360 is about 69207.5383177295. The cubic root of 4789683360 is about 1685.6559371878.

The spelling of 4789683360 in words is "four billion, seven hundred eighty-nine million, six hundred eighty-three thousand, three hundred sixty".