6221468800 has 96 divisors (see below), whose sum is σ = 15580090980. Its totient is φ = 2454405120.

The previous prime is 6221468783. The next prime is 6221468809. The reversal of 6221468800 is 88641226.

It can be written as a sum of positive squares in 6 ways, for example, as 4523369536 + 1698099264 = 67256^2 + 41208^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6221468800.

It is not an unprimeable number, because it can be changed into a prime (6221468809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220284 + ... + 246916.

Almost surely, 2^6221468800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6221468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790045490).

6221468800 is an abundant number, since it is smaller than the sum of its proper divisors (9358622180).

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

6221468800 is a wasteful number, since it uses less digits than its factorization.

6221468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26730 (or 26713 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 6221468800 is about 78876.2879451106. The cubic root of 6221468800 is about 1839.2085443010.

The spelling of 6221468800 in words is "six billion, two hundred twenty-one million, four hundred sixty-eight thousand, eight hundred".