4872268800 has 1056 divisors, whose sum is σ = 21930739200. Its totient is φ = 1035141120.

The previous prime is 4872268783. The next prime is 4872268823. The reversal of 4872268800 is 88622784.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91929574 + ... + 91929626.

Almost surely, 2^4872268800 is an apocalyptic number.

4872268800 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 4872268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965369600).

4872268800 is an abundant number, since it is smaller than the sum of its proper divisors (17058470400).

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

4872268800 is a wasteful number, since it uses less digits than its factorization.

4872268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4872268800 is about 69801.6389492396. The cubic root of 4872268800 is about 1695.2890101596.

The spelling of 4872268800 in words is "four billion, eight hundred seventy-two million, two hundred sixty-eight thousand, eight hundred".