4801536000 has 336 divisors, whose sum is σ = 17343305928. Its totient is φ = 1277952000.

The previous prime is 4801535993. The next prime is 4801536011. The reversal of 4801536000 is 6351084.

4801536000 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 53 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 955551744 + 3845984256 = 30912^2 + 62016^2 .

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, 9215740 + ... + 9216260.

Almost surely, 2^4801536000 is an apocalyptic number.

4801536000 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 4801536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671652964).

4801536000 is an abundant number, since it is smaller than the sum of its proper divisors (12541769928).

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

4801536000 is an equidigital number, since it uses as much as digits as its factorization.

4801536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4801536000 is about 69293.1165412554. The cubic root of 4801536000 is about 1687.0452437161.

Adding to 4801536000 its reverse (6351084), we get a palindrome (4807887084).

The spelling of 4801536000 in words is "four billion, eight hundred one million, five hundred thirty-six thousand".