4805712000 has 384 divisors, whose sum is σ = 18021294720. Its totient is φ = 1224960000.

The previous prime is 4805711951. The next prime is 4805712011. The reversal of 4805712000 is 2175084.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3311275 + ... + 3312725.

It is an arithmetic number, because the mean of its divisors is an integer number (46930455).

Almost surely, 2^4805712000 is an apocalyptic number.

4805712000 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 4805712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010647360).

4805712000 is an abundant number, since it is smaller than the sum of its proper divisors (13215582720).

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

4805712000 is a wasteful number, since it uses less digits than its factorization.

4805712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4805712000 is about 69323.2428554810. The cubic root of 4805712000 is about 1687.5341886077.

Adding to 4805712000 its reverse (2175084), we get a palindrome (4807887084).

The spelling of 4805712000 in words is "four billion, eight hundred five million, seven hundred twelve thousand".