5509624320 has 320 divisors, whose sum is σ = 19838016000. Its totient is φ = 1449197568.

The previous prime is 5509624319. The next prime is 5509624343. The reversal of 5509624320 is 234269055.

5509624320 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 624 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5459976 + ... + 5460984.

It is an arithmetic number, because the mean of its divisors is an integer number (61993800).

Almost surely, 2^5509624320 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 5509624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919008000).

5509624320 is an abundant number, since it is smaller than the sum of its proper divisors (14328391680).

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

5509624320 is a wasteful number, since it uses less digits than its factorization.

5509624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5509624320 is about 74226.8436618451. The cubic root of 5509624320 is about 1766.2031798661.

The spelling of 5509624320 in words is "five billion, five hundred nine million, six hundred twenty-four thousand, three hundred twenty".