5506116672 has 336 divisors, whose sum is σ = 18138038400. Its totient is φ = 1464680448.

The previous prime is 5506116667. The next prime is 5506116701. The reversal of 5506116672 is 2766116055.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 5506116672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27668829 + ... + 27669027.

Almost surely, 2^5506116672 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 5506116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069019200).

5506116672 is an abundant number, since it is smaller than the sum of its proper divisors (12631921728).

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

5506116672 is a wasteful number, since it uses less digits than its factorization.

5506116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5506116672 is about 74203.2120059503. The cubic root of 5506116672 is about 1765.8282883511.

The spelling of 5506116672 in words is "five billion, five hundred six million, one hundred sixteen thousand, six hundred seventy-two".