4845772800 has 504 divisors, whose sum is σ = 19014765120. Its totient is φ = 1169817600.

The previous prime is 4845772741. The next prime is 4845772801. The reversal of 4845772800 is 82775484.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4845772801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20275081 + ... + 20275319.

Almost surely, 2^4845772800 is an apocalyptic number.

4845772800 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 4845772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9507382560).

4845772800 is an abundant number, since it is smaller than the sum of its proper divisors (14168992320).

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

4845772800 is a wasteful number, since it uses less digits than its factorization.

4845772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4845772800 is about 69611.5852426879. The cubic root of 4845772800 is about 1692.2103589707.

The spelling of 4845772800 in words is "four billion, eight hundred forty-five million, seven hundred seventy-two thousand, eight hundred".