606817225728 has 880 divisors, whose sum is σ = 2134943050240. Its totient is φ = 168122843136.

The previous prime is 606817225723. The next prime is 606817225733. The reversal of 606817225728 is 827522718606.

606817225728 is a `hidden beast` number, since 6 + 0 + 68 + 1 + 7 + 2 + 2 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (606817225723) and next prime (606817225733).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606817225723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4365591483 + ... + 4365591621.

It is an arithmetic number, because the mean of its divisors is an integer number (2426071648).

Almost surely, 2^606817225728 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 606817225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067471525120).

606817225728 is an abundant number, since it is smaller than the sum of its proper divisors (1528125824512).

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

606817225728 is a wasteful number, since it uses less digits than its factorization.

606817225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 606817225728 in words is "six hundred six billion, eight hundred seventeen million, two hundred twenty-five thousand, seven hundred twenty-eight".