5506645564672 has 108 divisors (see below), whose sum is σ = 12852613457796. Its totient is φ = 2347761991680.

The previous prime is 5506645564669. The next prime is 5506645564703. The reversal of 5506645564672 is 2764655466055.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 478000773376 + 5028644791296 = 691376^2 + 2242464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5506645564672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283722 + ... + 3558262.

Almost surely, 2^{5506645564672} 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 5506645564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426306728898).

5506645564672 is an abundant number, since it is smaller than the sum of its proper divisors (7345967893124).

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

5506645564672 is a wasteful number, since it uses less digits than its factorization.

5506645564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274764 (or 2274743 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 61.

The spelling of 5506645564672 in words is "five trillion, five hundred six billion, six hundred forty-five million, five hundred sixty-four thousand, six hundred seventy-two".