1609666928640 has 1008 divisors, whose sum is σ = 6143532599880. Its totient is φ = 389315297280.

The previous prime is 1609666928593. The next prime is 1609666928641. The reversal of 1609666928640 is 468296669061.

It can be written as a sum of positive squares in 12 ways, for example, as 396355866624 + 1213311062016 = 629568^2 + 1101504^2 .

It is not an unprimeable number, because it can be changed into a prime (1609666928641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3089571580 + ... + 3089572100.

Almost surely, 2^{1609666928640} is an apocalyptic number.

1609666928640 is a gapful number since it is divisible by the number (10) 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 1609666928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071766299940).

1609666928640 is an abundant number, since it is smaller than the sum of its proper divisors (4533865671240).

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

1609666928640 is a wasteful number, since it uses less digits than its factorization.

1609666928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 1609666928640 in words is "one trillion, six hundred nine billion, six hundred sixty-six million, nine hundred twenty-eight thousand, six hundred forty".