5640809328 has 320 divisors, whose sum is σ = 20495831040. Its totient is φ = 1442707200.

The previous prime is 5640809327. The next prime is 5640809351. The reversal of 5640809328 is 8239080465.

5640809328 is a `hidden beast` number, since 564 + 0 + 80 + 9 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640809323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2227423 + ... + 2229953.

It is an arithmetic number, because the mean of its divisors is an integer number (64049472).

Almost surely, 2^5640809328 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 5640809328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247915520).

5640809328 is an abundant number, since it is smaller than the sum of its proper divisors (14855021712).

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

5640809328 is a wasteful number, since it uses less digits than its factorization.

5640809328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5640809328 is about 75105.3215691139. The cubic root of 5640809328 is about 1780.1112298460. Note that the first 3 decimals are identical.

The spelling of 5640809328 in words is "five billion, six hundred forty million, eight hundred nine thousand, three hundred twenty-eight".