5624559360 has 432 divisors, whose sum is σ = 23417372160. Its totient is φ = 1217617920.

The previous prime is 5624559359. The next prime is 5624559389. The reversal of 5624559360 is 639554265.

5624559360 is a `hidden beast` number, since 5 + 62 + 4 + 559 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1530325 + ... + 1533995.

It is an arithmetic number, because the mean of its divisors is an integer number (54206880).

Almost surely, 2^5624559360 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 5624559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708686080).

5624559360 is an abundant number, since it is smaller than the sum of its proper divisors (17792812800).

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

5624559360 is a wasteful number, since it uses less digits than its factorization.

5624559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5624559360 is about 74997.0623424678. The cubic root of 5624559360 is about 1778.4002122334.

The spelling of 5624559360 in words is "five billion, six hundred twenty-four million, five hundred fifty-nine thousand, three hundred sixty".