605290620672 has 432 divisors, whose sum is σ = 1970898384000. Its totient is φ = 184542769152.

The previous prime is 605290620647. The next prime is 605290620677. The reversal of 605290620672 is 276026092506.

605290620672 is a `hidden beast` number, since 6 + 0 + 529 + 0 + 62 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605290620677) 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 47 ways as a sum of consecutive naturals, for example, 34267779 + ... + 34285437.

Almost surely, 2^605290620672 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 605290620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985449192000).

605290620672 is an abundant number, since it is smaller than the sum of its proper divisors (1365607763328).

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

605290620672 is a wasteful number, since it uses less digits than its factorization.

605290620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17738 (or 17712 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 605290620672 in words is "six hundred five billion, two hundred ninety million, six hundred twenty thousand, six hundred seventy-two".