4267216800 has 864 divisors, whose sum is σ = 19303764480. Its totient is φ = 861235200.

The previous prime is 4267216781. The next prime is 4267216871. The reversal of 4267216800 is 86127624.

4267216800 is a `hidden beast` number, since 426 + 72 + 168 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23839111 + ... + 23839289.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^4267216800 is an apocalyptic number.

4267216800 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 4267216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651882240).

4267216800 is an abundant number, since it is smaller than the sum of its proper divisors (15036547680).

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

4267216800 is a wasteful number, since it uses less digits than its factorization.

4267216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4267216800 is about 65323.9374196014. The cubic root of 4267216800 is about 1621.9902379500.

The spelling of 4267216800 in words is "four billion, two hundred sixty-seven million, two hundred sixteen thousand, eight hundred".