5506147584 has 288 divisors, whose sum is σ = 19214254080. Its totient is φ = 1522022400.

The previous prime is 5506147573. The next prime is 5506147601. The reversal of 5506147584 is 4857416055.

5506147584 is a `hidden beast` number, since 5 + 5 + 0 + 61 + 4 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5506147584² = 60635322433578074112, which contains 22 as substring.

It is a congruent number.

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, 1498069 + ... + 1501739.

It is an arithmetic number, because the mean of its divisors is an integer number (66716160).

Almost surely, 2^5506147584 is an apocalyptic number.

5506147584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5506147584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607127040).

5506147584 is an abundant number, since it is smaller than the sum of its proper divisors (13708106496).

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

5506147584 is a wasteful number, since it uses less digits than its factorization.

5506147584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5506147584 is about 74203.4202985280. The cubic root of 5506147584 is about 1765.8315928689.

The spelling of 5506147584 in words is "five billion, five hundred six million, one hundred forty-seven thousand, five hundred eighty-four".