6223668480 has 288 divisors, whose sum is σ = 22316555520. Its totient is φ = 1642291200.

The previous prime is 6223668439. The next prime is 6223668487. The reversal of 6223668480 is 848663226.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6223668487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3489669 + ... + 3491451.

It is an arithmetic number, because the mean of its divisors is an integer number (77488040).

Almost surely, 2^6223668480 is an apocalyptic number.

6223668480 is a gapful number since it is divisible by the number (60) 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 6223668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158277760).

6223668480 is an abundant number, since it is smaller than the sum of its proper divisors (16092887040).

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

6223668480 is a wasteful number, since it uses less digits than its factorization.

6223668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6223668480 is about 78890.2305738803. The cubic root of 6223668480 is about 1839.4252773413.

The spelling of 6223668480 in words is "six billion, two hundred twenty-three million, six hundred sixty-eight thousand, four hundred eighty".