18729719424 has 320 divisors, whose sum is σ = 60821376000. Its totient is φ = 5686806528.

The previous prime is 18729719381. The next prime is 18729719429. The reversal of 18729719424 is 42491792781.

18729719424 is a `hidden beast` number, since 187 + 29 + 7 + 19 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18729719429) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10647057 + ... + 10648815.

It is an arithmetic number, because the mean of its divisors is an integer number (190066800).

Almost surely, 2^18729719424 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 18729719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410688000).

18729719424 is an abundant number, since it is smaller than the sum of its proper divisors (42091656576).

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

18729719424 is a wasteful number, since it uses less digits than its factorization.

18729719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1856 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 18729719424 in words is "eighteen billion, seven hundred twenty-nine million, seven hundred nineteen thousand, four hundred twenty-four".