6444608704 has 56 divisors (see below), whose sum is σ = 13162605120. Its totient is φ = 3129371904.

The previous prime is 6444608699. The next prime is 6444608711. The reversal of 6444608704 is 4078064446.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303127 + ... + 323689.

It is an arithmetic number, because the mean of its divisors is an integer number (235046520).

Almost surely, 2^6444608704 is an apocalyptic number.

6444608704 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 6444608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581302560).

6444608704 is an abundant number, since it is smaller than the sum of its proper divisors (6717996416).

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

6444608704 is a wasteful number, since it uses less digits than its factorization.

6444608704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20717 (or 20707 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The square root of 6444608704 is about 80278.3202614504. The cubic root of 6444608704 is about 1860.9392011658.

The spelling of 6444608704 in words is "six billion, four hundred forty-four million, six hundred eight thousand, seven hundred four".