4845344640 has 256 divisors, whose sum is σ = 16093347840. Its totient is φ = 1238630400.

The previous prime is 4845344639. The next prime is 4845344653. The reversal of 4845344640 is 464435484.

It is a junction number, because it is equal to n+sod(n) for n = 4845344592 and 4845344601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7558720 + ... + 7559360.

It is an arithmetic number, because the mean of its divisors is an integer number (62864640).

Almost surely, 2^4845344640 is an apocalyptic number.

4845344640 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 4845344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046673920).

4845344640 is an abundant number, since it is smaller than the sum of its proper divisors (11248003200).

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

4845344640 is a wasteful number, since it uses less digits than its factorization.

4845344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The square root of 4845344640 is about 69608.5098245897. The cubic root of 4845344640 is about 1692.1605177202.

The spelling of 4845344640 in words is "four billion, eight hundred forty-five million, three hundred forty-four thousand, six hundred forty".