4872718400 has 126 divisors (see below), whose sum is σ = 13179540570. Its totient is φ = 1771827200.

The previous prime is 4872718379. The next prime is 4872718423. The reversal of 4872718400 is 48172784.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 64128064 + 4808590336 = 8008^2 + 69344^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 181016 + ... + 206184.

Almost surely, 2^4872718400 is an apocalyptic number.

4872718400 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 4872718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589770285).

4872718400 is an abundant number, since it is smaller than the sum of its proper divisors (8306822170).

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

4872718400 is a wasteful number, since it uses less digits than its factorization.

4872718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25187 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The square root of 4872718400 is about 69804.8594296987. The cubic root of 4872718400 is about 1695.3411541420.

The spelling of 4872718400 in words is "four billion, eight hundred seventy-two million, seven hundred eighteen thousand, four hundred".