17680193006 has 64 divisors (see below), whose sum is σ = 32352307200. Its totient is φ = 7078046976.

The previous prime is 17680192939. The next prime is 17680193029. The reversal of 17680193006 is 60039108671.

It is a super-2 number, since 2×17680193006² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10960256 + ... + 10961868.

It is an arithmetic number, because the mean of its divisors is an integer number (505504800).

Almost surely, 2^17680193006 is an apocalyptic number.

17680193006 is a deficient number, since it is larger than the sum of its proper divisors (14672114194).

17680193006 is a wasteful number, since it uses less digits than its factorization.

17680193006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193.

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 17680193006 in words is "seventeen billion, six hundred eighty million, one hundred ninety-three thousand, six".