608509536096 has 384 divisors, whose sum is σ = 2082009194496. Its totient is φ = 150896148480.

The previous prime is 608509536083. The next prime is 608509536097. The reversal of 608509536096 is 690635905806.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608509536097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98096131 + ... + 98102333.

It is an arithmetic number, because the mean of its divisors is an integer number (5421898944).

Almost surely, 2^608509536096 is an apocalyptic number.

608509536096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608509536096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041004597248).

608509536096 is an abundant number, since it is smaller than the sum of its proper divisors (1473499658400).

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

608509536096 is a wasteful number, since it uses less digits than its factorization.

608509536096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 608509536096 in words is "six hundred eight billion, five hundred nine million, five hundred thirty-six thousand, ninety-six".