5506820672 has 56 divisors (see below), whose sum is σ = 11380851000. Its totient is φ = 2640490496.

The previous prime is 5506820653. The next prime is 5506820699. The reversal of 5506820672 is 2760286055.

It can be written as a sum of positive squares in 4 ways, for example, as 93392896 + 5413427776 = 9664^2 + 73576^2 .

It is an unprimeable number.

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, 266588 + ... + 286500.

Almost surely, 2^5506820672 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 5506820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690425500).

5506820672 is an abundant number, since it is smaller than the sum of its proper divisors (5874030328).

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

5506820672 is a wasteful number, since it uses less digits than its factorization.

5506820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20103 (or 20093 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 5506820672 is about 74207.9555842903. The cubic root of 5506820672 is about 1765.9035434544.

The spelling of 5506820672 in words is "five billion, five hundred six million, eight hundred twenty thousand, six hundred seventy-two".