606878917920 has 960 divisors, whose sum is σ = 2500456210560. Its totient is φ = 137056665600.

The previous prime is 606878917919. The next prime is 606878917921. The reversal of 606878917920 is 29719878606.

606878917920 is a `hidden beast` number, since 606 + 8 + 7 + 8 + 9 + 17 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (606878917919) and next prime (606878917921).

It is not an unprimeable number, because it can be changed into a prime (606878917921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165225204 + ... + 165228876.

It is an arithmetic number, because the mean of its divisors is an integer number (2604641886).

Almost surely, 2^606878917920 is an apocalyptic number.

606878917920 is a gapful number since it is divisible by the number (60) 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 606878917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250228105280).

606878917920 is an abundant number, since it is smaller than the sum of its proper divisors (1893577292640).

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

606878917920 is a wasteful number, since it uses less digits than its factorization.

606878917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 606878917920 in words is "six hundred six billion, eight hundred seventy-eight million, nine hundred seventeen thousand, nine hundred twenty".