606103126272 has 288 divisors, whose sum is σ = 2049567528960. Its totient is φ = 173073991680.

The previous prime is 606103126271. The next prime is 606103126283. The reversal of 606103126272 is 272621301606.

606103126272 is a `hidden beast` number, since 6 + 0 + 6 + 10 + 3 + 12 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (606103126271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154971997 + ... + 154975907.

It is an arithmetic number, because the mean of its divisors is an integer number (7116553920).

Almost surely, 2^606103126272 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 606103126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024783764480).

606103126272 is an abundant number, since it is smaller than the sum of its proper divisors (1443464402688).

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

606103126272 is a wasteful number, since it uses less digits than its factorization.

606103126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 606103126272 its reverse (272621301606), we get a palindrome (878724427878).

The spelling of 606103126272 in words is "six hundred six billion, one hundred three million, one hundred twenty-six thousand, two hundred seventy-two".