6468895224 has 336 divisors, whose sum is σ = 20409807600. Its totient is φ = 1919427840.

The previous prime is 6468895217. The next prime is 6468895229. The reversal of 6468895224 is 4225988646.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468895229) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 62804757 + ... + 62804859.

It is an arithmetic number, because the mean of its divisors is an integer number (60743475).

Almost surely, 2^6468895224 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 6468895224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204903800).

6468895224 is an abundant number, since it is smaller than the sum of its proper divisors (13940912376).

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

6468895224 is a wasteful number, since it uses less digits than its factorization.

6468895224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 6468895224 is about 80429.4425195152. The cubic root of 6468895224 is about 1863.2739217754.

The spelling of 6468895224 in words is "six billion, four hundred sixty-eight million, eight hundred ninety-five thousand, two hundred twenty-four".