606820746168 has 384 divisors, whose sum is σ = 2073597926400. Its totient is φ = 156030271488.

The previous prime is 606820746167. The next prime is 606820746197. The reversal of 606820746168 is 861647028606.

606820746168 is a `hidden beast` number, since 60 + 68 + 2 + 0 + 7 + 461 + 68 = 666.

It is a Cunningham number, because it is equal to 778987²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606820746167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182281528 + ... + 182284856.

It is an arithmetic number, because the mean of its divisors is an integer number (5399994600).

Almost surely, 2^606820746168 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 606820746168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036798963200).

606820746168 is an abundant number, since it is smaller than the sum of its proper divisors (1466777180232).

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

606820746168 is a wasteful number, since it uses less digits than its factorization.

606820746168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 606820746168 in words is "six hundred six billion, eight hundred twenty million, seven hundred forty-six thousand, one hundred sixty-eight".