608441808672 has 288 divisors, whose sum is σ = 1866388043520. Its totient is φ = 187398489600.

The previous prime is 608441808649. The next prime is 608441808673. The reversal of 608441808672 is 276808144806.

608441808672 is a `hidden beast` number, since 6 + 0 + 84 + 418 + 0 + 86 + 72 = 666.

608441808672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (608441808673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213412047 + ... + 213414897.

It is an arithmetic number, because the mean of its divisors is an integer number (6480514040).

Almost surely, 2^608441808672 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 608441808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933194021760).

608441808672 is an abundant number, since it is smaller than the sum of its proper divisors (1257946234848).

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

608441808672 is a wasteful number, since it uses less digits than its factorization.

608441808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 608441808672 in words is "six hundred eight billion, four hundred forty-one million, eight hundred eight thousand, six hundred seventy-two".