4678984800 has 864 divisors, whose sum is σ = 20590682112. Its totient is φ = 975421440.

The previous prime is 4678984769. The next prime is 4678984801. The reversal of 4678984800 is 84898764.

4678984800 is a `hidden beast` number, since 4 + 6 + 78 + 98 + 480 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678984801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36842337 + ... + 36842463.

It is an arithmetic number, because the mean of its divisors is an integer number (23831808).

Almost surely, 2^4678984800 is an apocalyptic number.

4678984800 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 4678984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295341056).

4678984800 is an abundant number, since it is smaller than the sum of its proper divisors (15911697312).

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

4678984800 is a wasteful number, since it uses less digits than its factorization.

4678984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4678984800 is about 68403.1051926738. The cubic root of 4678984800 is about 1672.5683644225.

The spelling of 4678984800 in words is "four billion, six hundred seventy-eight million, nine hundred eighty-four thousand, eight hundred".