4686008378160 has 40 divisors (see below), whose sum is σ = 14526625973040. Its totient is φ = 1249602234112.

The previous prime is 4686008378159. The next prime is 4686008378269. The reversal of 4686008378160 is 618738006864.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4686008378160.

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 7 ways as a sum of consecutive naturals, for example, 9762517215 + ... + 9762517694.

It is an arithmetic number, because the mean of its divisors is an integer number (363165649326).

Almost surely, 2^{4686008378160} is an apocalyptic number.

4686008378160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4686008378160 is an abundant number, since it is smaller than the sum of its proper divisors (9840617594880).

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

4686008378160 is a wasteful number, since it uses less digits than its factorization.

4686008378160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19525034925 (or 19525034919 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 4686008378160 in words is "four trillion, six hundred eighty-six billion, eight million, three hundred seventy-eight thousand, one hundred sixty".