4801696200 has 720 divisors, whose sum is σ = 20320217280. Its totient is φ = 1045820160.

The previous prime is 4801696183. The next prime is 4801696213. The reversal of 4801696200 is 26961084.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 18257269 + ... + 18257531.

It is an arithmetic number, because the mean of its divisors is an integer number (28222524).

Almost surely, 2^4801696200 is an apocalyptic number.

4801696200 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 4801696200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160108640).

4801696200 is an abundant number, since it is smaller than the sum of its proper divisors (15518521080).

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

4801696200 is a wasteful number, since it uses less digits than its factorization.

4801696200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4801696200 is about 69294.2724905890. The cubic root of 4801696200 is about 1687.0640058818.

The spelling of 4801696200 in words is "four billion, eight hundred one million, six hundred ninety-six thousand, two hundred".