609715534841728 has 128 divisors (see below), whose sum is σ = 1436262907392000. Its totient is φ = 252260487370752.

The previous prime is 609715534841723. The next prime is 609715534841839. The reversal of 609715534841728 is 827148435517906.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609715534841723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182912583 + ... + 186216121.

It is an arithmetic number, because the mean of its divisors is an integer number (11220803964000).

It is a 1-persistent number, because it is pandigital, but 2⋅609715534841728 = 1219431069683456 is not.

Almost surely, 2^{609715534841728} 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 609715534841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718131453696000).

609715534841728 is an abundant number, since it is smaller than the sum of its proper divisors (826547372550272).

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

609715534841728 is a wasteful number, since it uses less digits than its factorization.

609715534841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310692 (or 3310680 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 70.

The spelling of 609715534841728 in words is "six hundred nine trillion, seven hundred fifteen billion, five hundred thirty-four million, eight hundred forty-one thousand, seven hundred twenty-eight".