5609459520 has 448 divisors, whose sum is σ = 22814645760. Its totient is φ = 1270923264.

The previous prime is 5609459491. The next prime is 5609459539. The reversal of 5609459520 is 259549065.

It is a happy number.

5609459520 is a `hidden beast` number, since 56 + 0 + 9 + 4 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5609459520² = 62932072213037260800, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8285422 + ... + 8286098.

Almost surely, 2^5609459520 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 5609459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11407322880).

5609459520 is an abundant number, since it is smaller than the sum of its proper divisors (17205186240).

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

5609459520 is a wasteful number, since it uses less digits than its factorization.

5609459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5609459520 is about 74896.3251434942. The cubic root of 5609459520 is about 1776.8073392967.

The spelling of 5609459520 in words is "five billion, six hundred nine million, four hundred fifty-nine thousand, five hundred twenty".