4845568000 has 384 divisors, whose sum is σ = 14967145440. Its totient is φ = 1533542400.

The previous prime is 4845567949. The next prime is 4845568009. The reversal of 4845568000 is 8655484.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845568009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372735994 + ... + 372736006.

Almost surely, 2^4845568000 is an apocalyptic number.

4845568000 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 4845568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483572720).

4845568000 is an abundant number, since it is smaller than the sum of its proper divisors (10121577440).

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

4845568000 is an frugal number, since it uses more digits than its factorization.

4845568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 4845568000 is about 69610.1142076351. The cubic root of 4845568000 is about 1692.1865189781.

The spelling of 4845568000 in words is "four billion, eight hundred forty-five million, five hundred sixty-eight thousand".