4648160000 has 360 divisors, whose sum is σ = 13409457600. Its totient is φ = 1589760000.

The previous prime is 4648159979. The next prime is 4648160003. The reversal of 4648160000 is 618464.

It is not an unprimeable number, because it can be changed into a prime (4648160003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 33439931 + ... + 33440069.

Almost surely, 2^4648160000 is an apocalyptic number.

4648160000 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 4648160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704728800).

4648160000 is an abundant number, since it is smaller than the sum of its proper divisors (8761297600).

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

4648160000 is a wasteful number, since it uses less digits than its factorization.

4648160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4648160000 is about 68177.4156154368. The cubic root of 4648160000 is about 1668.8873509338.

Adding to 4648160000 its reverse (618464), we get a palindrome (4648778464).

The spelling of 4648160000 in words is "four billion, six hundred forty-eight million, one hundred sixty thousand".