5624809344 has 512 divisors, whose sum is σ = 21620736000. Its totient is φ = 1395947520.

The previous prime is 5624809339. The next prime is 5624809369. The reversal of 5624809344 is 4439084265.

5624809344 is a `hidden beast` number, since 562 + 4 + 80 + 9 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5624809344.

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, 6120117 + ... + 6121035.

It is an arithmetic number, because the mean of its divisors is an integer number (42228000).

Almost surely, 2^5624809344 is an apocalyptic number.

5624809344 is a gapful number since it is divisible by the number (54) 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 5624809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810368000).

5624809344 is an abundant number, since it is smaller than the sum of its proper divisors (15995926656).

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

5624809344 is a wasteful number, since it uses less digits than its factorization.

5624809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5624809344 is about 74998.7289492295. The cubic root of 5624809344 is about 1778.4265588906.

The spelling of 5624809344 in words is "five billion, six hundred twenty-four million, eight hundred nine thousand, three hundred forty-four".