6444472320 has 768 divisors, whose sum is σ = 27078105600. Its totient is φ = 1433272320.

The previous prime is 6444472313. The next prime is 6444472343. The reversal of 6444472320 is 232744446.

6444472320 is a `hidden beast` number, since 644 + 4 + 4 + 7 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39536559 + ... + 39536721.

It is an arithmetic number, because the mean of its divisors is an integer number (35257950).

Almost surely, 2^6444472320 is an apocalyptic number.

6444472320 is a gapful number since it is divisible by the number (60) 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 6444472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539052800).

6444472320 is an abundant number, since it is smaller than the sum of its proper divisors (20633633280).

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

6444472320 is a wasteful number, since it uses less digits than its factorization.

6444472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 6444472320 is about 80277.4708121774. The cubic root of 6444472320 is about 1860.9260737010.

The spelling of 6444472320 in words is "six billion, four hundred forty-four million, four hundred seventy-two thousand, three hundred twenty".