1609422727680 has 240 divisors, whose sum is σ = 5679055479240. Its totient is φ = 421081350144.

The previous prime is 1609422727667. The next prime is 1609422727699. The reversal of 1609422727680 is 867272249061.

1609422727680 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 422 + 72 + 76 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 916905832704 + 692516894976 = 957552^2 + 832176^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562126 + ... + 1880114.

Almost surely, 2^{1609422727680} is an apocalyptic number.

1609422727680 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 1609422727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839527739620).

1609422727680 is an abundant number, since it is smaller than the sum of its proper divisors (4069632751560).

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

1609422727680 is a wasteful number, since it uses less digits than its factorization.

1609422727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318071 (or 1318052 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1609422727680 in words is "one trillion, six hundred nine billion, four hundred twenty-two million, seven hundred twenty-seven thousand, six hundred eighty".