6440333328 has 800 divisors, whose sum is σ = 24198451200. Its totient is φ = 1623628800.

The previous prime is 6440333327. The next prime is 6440333351. The reversal of 6440333328 is 8233330446.

6440333328 is a `hidden beast` number, since 644 + 0 + 3 + 3 + 3 + 3 + 2 + 8 = 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 = 6440333292 and 6440333301.

It is not an unprimeable number, because it can be changed into a prime (6440333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109158163 + ... + 109158221.

It is an arithmetic number, because the mean of its divisors is an integer number (30248064).

Almost surely, 2^6440333328 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 6440333328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099225600).

6440333328 is an abundant number, since it is smaller than the sum of its proper divisors (17758117872).

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

6440333328 is a wasteful number, since it uses less digits than its factorization.

6440333328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 6440333328 is about 80251.6873841292. The cubic root of 6440333328 is about 1860.5275922689.

The spelling of 6440333328 in words is "six billion, four hundred forty million, three hundred thirty-three thousand, three hundred twenty-eight".