5609329969824 has 288 divisors, whose sum is σ = 18357433750656. Its totient is φ = 1591522007040.

The previous prime is 5609329969777. The next prime is 5609329969847. The reversal of 5609329969824 is 4289699239065.

5609329969824 is a `hidden beast` number, since 5 + 609 + 3 + 2 + 9 + 9 + 6 + 9 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 214846179 + ... + 214872285.

It is an arithmetic number, because the mean of its divisors is an integer number (63741089412).

Almost surely, 2^{5609329969824} 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 5609329969824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178716875328).

5609329969824 is an abundant number, since it is smaller than the sum of its proper divisors (12748103780832).

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

5609329969824 is a wasteful number, since it uses less digits than its factorization.

5609329969824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26868 (or 26857 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 5609329969824 in words is "five trillion, six hundred nine billion, three hundred twenty-nine million, nine hundred sixty-nine thousand, eight hundred twenty-four".