6444048006 has 48 divisors (see below), whose sum is σ = 15264220608. Its totient is φ = 1948532400.

The previous prime is 6444048001. The next prime is 6444048011. The reversal of 6444048006 is 6008404446.

6444048006 is a `hidden beast` number, since 644 + 4 + 0 + 4 + 8 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6444048001) and next prime (6444048011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444048001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57621 + ... + 127311.

It is an arithmetic number, because the mean of its divisors is an integer number (318004596).

Almost surely, 2^6444048006 is an apocalyptic number.

6444048006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6444048006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632110304).

6444048006 is an abundant number, since it is smaller than the sum of its proper divisors (8820172602).

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

6444048006 is a wasteful number, since it uses less digits than its factorization.

6444048006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70177 (or 70174 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6444048006 is about 80274.8279724099. The cubic root of 6444048006 is about 1860.8852307234.

The spelling of 6444048006 in words is "six billion, four hundred forty-four million, forty-eight thousand, six".