4802784000 has 432 divisors, whose sum is σ = 18575103456. Its totient is φ = 1096704000.

The previous prime is 4802783987. The next prime is 4802784011. The reversal of 4802784000 is 4872084.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703490 + ... + 4704510.

Almost surely, 2^4802784000 is an apocalyptic number.

4802784000 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 4802784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287551728).

4802784000 is an abundant number, since it is smaller than the sum of its proper divisors (13772319456).

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

4802784000 is a wasteful number, since it uses less digits than its factorization.

4802784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4802784000 is about 69302.1211796580. The cubic root of 4802784000 is about 1687.1913948698.

The spelling of 4802784000 in words is "four billion, eight hundred two million, seven hundred eighty-four thousand".