10006948680604 has 24 divisors (see below), whose sum is σ = 17577796975200. Its totient is φ = 4984722108480.

The previous prime is 10006948680593. The next prime is 10006948680661. The reversal of 10006948680604 is 40608684960001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40615617 + ... + 40861255.

It is an arithmetic number, because the mean of its divisors is an integer number (732408207300).

Almost surely, 2^{10006948680604} is an apocalyptic number.

It is an amenable number.

10006948680604 is a deficient number, since it is larger than the sum of its proper divisors (7570848294596).

10006948680604 is a wasteful number, since it uses less digits than its factorization.

10006948680604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283773 (or 283771 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 10006948680604 in words is "ten trillion, six billion, nine hundred forty-eight million, six hundred eighty thousand, six hundred four".