6444611712 has 576 divisors, whose sum is σ = 23998796640. Its totient is φ = 1641185280.

The previous prime is 6444611711. The next prime is 6444611717. The reversal of 6444611712 is 2171164446.

It is a happy number.

6444611712 is a `hidden beast` number, since 644 + 4 + 6 + 1 + 1 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 not an unprimeable number, because it can be changed into a prime (6444611711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60229963 + ... + 60230069.

Almost surely, 2^6444611712 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 6444611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999398320).

6444611712 is an abundant number, since it is smaller than the sum of its proper divisors (17554184928).

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

6444611712 is a wasteful number, since it uses less digits than its factorization.

6444611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6444611712 is about 80278.3389962697. The cubic root of 6444611712 is about 1860.9394906949.

The spelling of 6444611712 in words is "six billion, four hundred forty-four million, six hundred eleven thousand, seven hundred twelve".