5506432064 has 56 divisors (see below), whose sum is σ = 12508992000. Its totient is φ = 2355895296.

The previous prime is 5506432013. The next prime is 5506432067. The reversal of 5506432064 is 4602346055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5506432067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261812 + ... + 282060.

Almost surely, 2^5506432064 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 5506432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254496000).

5506432064 is an abundant number, since it is smaller than the sum of its proper divisors (7002559936).

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

5506432064 is a wasteful number, since it uses less digits than its factorization.

5506432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20875 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 5506432064 is about 74205.3371665408. The cubic root of 5506432064 is about 1765.8620034305.

The spelling of 5506432064 in words is "five billion, five hundred six million, four hundred thirty-two thousand, sixty-four".