1680008475069 has 24 divisors (see below), whose sum is σ = 2431261285440. Its totient is φ = 1117891158912.

The previous prime is 1680008475023. The next prime is 1680008475121. The reversal of 1680008475069 is 9605748000861.

1680008475069 is a `hidden beast` number, since 16 + 80 + 0 + 0 + 8 + 47 + 506 + 9 = 666.

It is not a de Polignac number, because 1680008475069 - 2⁷ = 1680008474941 is a prime.

It is a super-3 number, since 3×1680008475069³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680008471069) 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, 75907797 + ... + 75929925.

It is an arithmetic number, because the mean of its divisors is an integer number (101302553560).

Almost surely, 2^{1680008475069} is an apocalyptic number.

It is an amenable number.

1680008475069 is a deficient number, since it is larger than the sum of its proper divisors (751252810371).

1680008475069 is a wasteful number, since it uses less digits than its factorization.

1680008475069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37681 (or 37678 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1680008475069 in words is "one trillion, six hundred eighty billion, eight million, four hundred seventy-five thousand, sixty-nine".