18579408768 has 96 divisors (see below), whose sum is σ = 53688679200. Its totient is φ = 6167132160.

The previous prime is 18579408721. The next prime is 18579408821. The reversal of 18579408768 is 86780497581.

18579408768 is a `hidden beast` number, since 18 + 579 + 40 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241588 + ... + 309068.

It is an arithmetic number, because the mean of its divisors is an integer number (559257075).

Almost surely, 2^18579408768 is an apocalyptic number.

18579408768 is a gapful number since it is divisible by the number (18) 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 18579408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26844339600).

18579408768 is an abundant number, since it is smaller than the sum of its proper divisors (35109270432).

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

18579408768 is a wasteful number, since it uses less digits than its factorization.

18579408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67740 (or 67725 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 18579408768 in words is "eighteen billion, five hundred seventy-nine million, four hundred eight thousand, seven hundred sixty-eight".