6223261968 has 320 divisors, whose sum is σ = 22643312640. Its totient is φ = 1589414400.

The previous prime is 6223261951. The next prime is 6223262009. The reversal of 6223261968 is 8691623226.

6223261968 is a `hidden beast` number, since 6 + 2 + 23 + 2 + 619 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 2027571 + ... + 2030637.

It is an arithmetic number, because the mean of its divisors is an integer number (70760352).

Almost surely, 2^6223261968 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 6223261968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321656320).

6223261968 is an abundant number, since it is smaller than the sum of its proper divisors (16420050672).

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

6223261968 is a wasteful number, since it uses less digits than its factorization.

6223261968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3151 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 6223261968 is about 78887.6540911187. The cubic root of 6223261968 is about 1839.3852278254.

The spelling of 6223261968 in words is "six billion, two hundred twenty-three million, two hundred sixty-one thousand, nine hundred sixty-eight".