4684368000 has 256 divisors, whose sum is σ = 16725421440. Its totient is φ = 1152921600.

The previous prime is 4684367993. The next prime is 4684368001. The reversal of 4684368000 is 8634864.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4684368000.

It is not an unprimeable number, because it can be changed into a prime (4684368001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 620247 + ... + 627753.

Almost surely, 2^4684368000 is an apocalyptic number.

4684368000 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 4684368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362710720).

4684368000 is an abundant number, since it is smaller than the sum of its proper divisors (12041053440).

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

4684368000 is a wasteful number, since it uses less digits than its factorization.

4684368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4684368000 is about 68442.4429721792. The cubic root of 4684368000 is about 1673.2095518913.

The spelling of 4684368000 in words is "four billion, six hundred eighty-four million, three hundred sixty-eight thousand".