4879072800 has 864 divisors, whose sum is σ = 21427378560. Its totient is φ = 1049241600.

The previous prime is 4879072771. The next prime is 4879072801. The reversal of 4879072800 is 82709784.

4879072800 is a `hidden beast` number, since 487 + 90 + 7 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (4879072801) 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 143 ways as a sum of consecutive naturals, for example, 79984770 + ... + 79984830.

Almost surely, 2^4879072800 is an apocalyptic number.

4879072800 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 4879072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713689280).

4879072800 is an abundant number, since it is smaller than the sum of its proper divisors (16548305760).

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

4879072800 is a wasteful number, since it uses less digits than its factorization.

4879072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4879072800 is about 69850.3600563376. The cubic root of 4879072800 is about 1696.0777858295.

The spelling of 4879072800 in words is "four billion, eight hundred seventy-nine million, seventy-two thousand, eight hundred".