6449563224 has 384 divisors, whose sum is σ = 21661344000. Its totient is φ = 1766209536.

The previous prime is 6449563181. The next prime is 6449563273. The reversal of 6449563224 is 4223659446.

6449563224 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 5 + 632 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6449563224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11790519 + ... + 11791065.

It is an arithmetic number, because the mean of its divisors is an integer number (56409750).

Almost surely, 2^6449563224 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 6449563224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830672000).

6449563224 is an abundant number, since it is smaller than the sum of its proper divisors (15211780776).

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

6449563224 is a wasteful number, since it uses less digits than its factorization.

6449563224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 6449563224 is about 80309.1727264078. The cubic root of 6449563224 is about 1861.4159665354.

The spelling of 6449563224 in words is "six billion, four hundred forty-nine million, five hundred sixty-three thousand, two hundred twenty-four".