6328720944 has 640 divisors, whose sum is σ = 24276224000. Its totient is φ = 1531809792.

The previous prime is 6328720873. The next prime is 6328720961. The reversal of 6328720944 is 4490278236.

6328720944 is a `hidden beast` number, since 632 + 8 + 7 + 2 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×6328720944² = 80105417574048502272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6328720944.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27636222 + ... + 27636450.

It is an arithmetic number, because the mean of its divisors is an integer number (37931600).

Almost surely, 2^6328720944 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 6328720944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138112000).

6328720944 is an abundant number, since it is smaller than the sum of its proper divisors (17947503056).

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

6328720944 is a wasteful number, since it uses less digits than its factorization.

6328720944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6328720944 is about 79553.2585379128. The cubic root of 6328720944 is about 1849.7171171070.

It can be divided in two parts, 632 and 8720944, that added together give a triangular number (8721576 = T₄₁₇₆).

The spelling of 6328720944 in words is "six billion, three hundred twenty-eight million, seven hundred twenty thousand, nine hundred forty-four".