6449212224 has 784 divisors, whose sum is σ = 24874931200. Its totient is φ = 1646023680.

The previous prime is 6449212223. The next prime is 6449212243. The reversal of 6449212224 is 4222129446.

6449212224 is a `hidden beast` number, since 644 + 9 + 2 + 1 + 2 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6449212223) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 208039089 + ... + 208039119.

Almost surely, 2^6449212224 is an apocalyptic number.

6449212224 is a gapful number since it is divisible by the number (64) 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 6449212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12437465600).

6449212224 is an abundant number, since it is smaller than the sum of its proper divisors (18425718976).

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

6449212224 is an equidigital number, since it uses as much as digits as its factorization.

6449212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6449212224 is about 80306.9873921317. The cubic root of 6449212224 is about 1861.3821984163.

It can be divided in two parts, 6449212 and 224, that added together give a triangular number (6449436 = T₃₅₉₁).

The spelling of 6449212224 in words is "six billion, four hundred forty-nine million, two hundred twelve thousand, two hundred twenty-four".