5506616584 has 64 divisors (see below), whose sum is σ = 11902464000. Its totient is φ = 2339548224.

The previous prime is 5506616551. The next prime is 5506616617. The reversal of 5506616584 is 4856166055.

It is an interprime number because it is at equal distance from previous prime (5506616551) and next prime (5506616617).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5601357 + ... + 5602339.

It is an arithmetic number, because the mean of its divisors is an integer number (185976000).

Almost surely, 2^5506616584 is an apocalyptic number.

It is an amenable number.

5506616584 is an abundant number, since it is smaller than the sum of its proper divisors (6395847416).

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

5506616584 is a wasteful number, since it uses less digits than its factorization.

5506616584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 5506616584 is about 74206.5804629212. The cubic root of 5506616584 is about 1765.8817278312.

The spelling of 5506616584 in words is "five billion, five hundred six million, six hundred sixteen thousand, five hundred eighty-four".