5006690208 has 288 divisors, whose sum is σ = 15873713856. Its totient is φ = 1487130624.

The previous prime is 5006690203. The next prime is 5006690231. The reversal of 5006690208 is 8020966005.

5006690208 is a `hidden beast` number, since 500 + 66 + 90 + 2 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5006690201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22055791 + ... + 22056017.

It is an arithmetic number, because the mean of its divisors is an integer number (55117062).

Almost surely, 2^5006690208 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 5006690208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936856928).

5006690208 is an abundant number, since it is smaller than the sum of its proper divisors (10867023648).

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

5006690208 is a wasteful number, since it uses less digits than its factorization.

5006690208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5006690208 is about 70757.9692190215. The cubic root of 5006690208 is about 1710.7382797505.

The spelling of 5006690208 in words is "five billion, six million, six hundred ninety thousand, two hundred eight".