4684800000 has 336 divisors, whose sum is σ = 15870015504. Its totient is φ = 1228800000.

The previous prime is 4684799981. The next prime is 4684800019. The reversal of 4684800000 is 84864.

It is an interprime number because it is at equal distance from previous prime (4684799981) and next prime (4684800019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76799970 + ... + 76800030.

It is an arithmetic number, because the mean of its divisors is an integer number (47232189).

Almost surely, 2^4684800000 is an apocalyptic number.

4684800000 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 4684800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935007752).

4684800000 is an abundant number, since it is smaller than the sum of its proper divisors (11185215504).

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

4684800000 is an frugal number, since it uses more digits than its factorization.

4684800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4684800000 is about 68445.5988358638. The cubic root of 4684800000 is about 1673.2609856747.

Adding to 4684800000 its reverse (84864), we get a palindrome (4684884864).

The spelling of 4684800000 in words is "four billion, six hundred eighty-four million, eight hundred thousand".