17978678433680 has 40 divisors (see below), whose sum is σ = 41800918320000. Its totient is φ = 7191386907008.

The previous prime is 17978678433673. The next prime is 17978678433701. The reversal of 17978678433680 is 8633487687971.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5770571 + ... + 8322069.

It is an arithmetic number, because the mean of its divisors is an integer number (1045022958000).

Almost surely, 2^{17978678433680} is an apocalyptic number.

17978678433680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17978678433680 is an abundant number, since it is smaller than the sum of its proper divisors (23822239886320).

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

17978678433680 is a wasteful number, since it uses less digits than its factorization.

17978678433680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639591 (or 2639585 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 77.

The spelling of 17978678433680 in words is "seventeen trillion, nine hundred seventy-eight billion, six hundred seventy-eight million, four hundred thirty-three thousand, six hundred eighty".