1606635680544 has 144 divisors (see below), whose sum is σ = 4599075479544. Its totient is φ = 532011110400.

The previous prime is 1606635680539. The next prime is 1606635680549. The reversal of 1606635680544 is 4450865366061.

1606635680544 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 6 + 35 + 68 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (1606635680539) and next prime (1606635680549).

It can be written as a sum of positive squares in 4 ways, for example, as 460905210000 + 1145730470544 = 678900^2 + 1070388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1606635680549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49661814 + ... + 49694154.

Almost surely, 2^{1606635680544} 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 1606635680544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299537739772).

1606635680544 is an abundant number, since it is smaller than the sum of its proper divisors (2992439799000).

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

1606635680544 is a wasteful number, since it uses less digits than its factorization.

1606635680544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33491 (or 33480 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 1606635680544 in words is "one trillion, six hundred six billion, six hundred thirty-five million, six hundred eighty thousand, five hundred forty-four".