6444410544 has 480 divisors, whose sum is σ = 22430064384. Its totient is φ = 1765463040.

The previous prime is 6444410521. The next prime is 6444410551. The reversal of 6444410544 is 4450144446.

6444410544 is a `hidden beast` number, since 64 + 4 + 44 + 10 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6444410499 and 6444410508.

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, 37250842 + ... + 37251014.

Almost surely, 2^6444410544 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 6444410544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215032192).

6444410544 is an abundant number, since it is smaller than the sum of its proper divisors (15985653840).

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

6444410544 is a wasteful number, since it uses less digits than its factorization.

6444410544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 6444410544 is about 80277.0860457702. The cubic root of 6444410544 is about 1860.9201274714.

The spelling of 6444410544 in words is "six billion, four hundred forty-four million, four hundred ten thousand, five hundred forty-four".