609144618240 has 432 divisors, whose sum is σ = 2151471067200. Its totient is φ = 159084085248.

The previous prime is 609144618233. The next prime is 609144618241. The reversal of 609144618240 is 42816441906.

609144618240 is a `hidden beast` number, since 6 + 0 + 9 + 1 + 4 + 4 + 618 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609144618241) 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 47 ways as a sum of consecutive naturals, for example, 138157156 + ... + 138161564.

It is an arithmetic number, because the mean of its divisors is an integer number (4980257100).

Almost surely, 2^609144618240 is an apocalyptic number.

609144618240 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 609144618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075735533600).

609144618240 is an abundant number, since it is smaller than the sum of its proper divisors (1542326448960).

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

609144618240 is a wasteful number, since it uses less digits than its factorization.

609144618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 609144618240 in words is "six hundred nine billion, one hundred forty-four million, six hundred eighteen thousand, two hundred forty".