18870789832704 has 768 divisors, whose sum is σ = 57938392512000. Its totient is φ = 6136316559360.

The previous prime is 18870789832679. The next prime is 18870789832711. The reversal of 18870789832704 is 40723898707881.

18870789832704 is a `hidden beast` number, since 1 + 88 + 70 + 78 + 98 + 327 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×18870789832704² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82405195662 + ... + 82405195890.

It is an arithmetic number, because the mean of its divisors is an integer number (75440615250).

Almost surely, 2^{18870789832704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18870789832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28969196256000).

18870789832704 is an abundant number, since it is smaller than the sum of its proper divisors (39067602679296).

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

18870789832704 is an frugal number, since it uses more digits than its factorization.

18870789832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 18870789832704 in words is "eighteen trillion, eight hundred seventy billion, seven hundred eighty-nine million, eight hundred thirty-two thousand, seven hundred four".