18974826823680 has 1680 divisors, whose sum is σ = 83897582719104. Its totient is φ = 3995326218240.

The previous prime is 18974826823657. The next prime is 18974826823769. The reversal of 18974826823680 is 8632862847981.

18974826823680 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 482 + 6 + 82 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18974826823599 and 18974826823608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38645268235 + ... + 38645268725.

Almost surely, 2^{18974826823680} is an apocalyptic number.

18974826823680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18974826823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41948791359552).

18974826823680 is an abundant number, since it is smaller than the sum of its proper divisors (64922755895424).

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

18974826823680 is an frugal number, since it uses more digits than its factorization.

18974826823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 18974826823680 in words is "eighteen trillion, nine hundred seventy-four billion, eight hundred twenty-six million, eight hundred twenty-three thousand, six hundred eighty".