4648320000 has 440 divisors, whose sum is σ = 17266035600. Its totient is φ = 1234944000.

The previous prime is 4648319993. The next prime is 4648320007. The reversal of 4648320000 is 238464.

It is an interprime number because it is at equal distance from previous prime (4648319993) and next prime (4648320007).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648320007) 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 39 ways as a sum of consecutive naturals, for example, 17279866 + ... + 17280134.

It is an arithmetic number, because the mean of its divisors is an integer number (39240990).

Almost surely, 2^4648320000 is an apocalyptic number.

4648320000 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 4648320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633017800).

4648320000 is an abundant number, since it is smaller than the sum of its proper divisors (12617715600).

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

4648320000 is an equidigital number, since it uses as much as digits as its factorization.

4648320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4648320000 is about 68178.5890144406. The cubic root of 4648320000 is about 1668.9064996516.

Adding to 4648320000 its reverse (238464), we get a palindrome (4648558464).

The spelling of 4648320000 in words is "four billion, six hundred forty-eight million, three hundred twenty thousand".