18579268032768 has 216 divisors, whose sum is σ = 56358284584056. Its totient is φ = 5878738944000.

The previous prime is 18579268032761. The next prime is 18579268032797. The reversal of 18579268032768 is 86723086297581.

18579268032768 is a `hidden beast` number, since 1 + 8 + 579 + 26 + 8 + 0 + 3 + 27 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2338110111744 + 16241157921024 = 1529088^2 + 4030032^2 .

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 = 18579268032696 and 18579268032705.

It is not an unprimeable number, because it can be changed into a prime (18579268032761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837318 + ... + 6153018.

Almost surely, 2^{18579268032768} is an apocalyptic number.

18579268032768 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 18579268032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179142292028).

18579268032768 is an abundant number, since it is smaller than the sum of its proper divisors (37779016551288).

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

18579268032768 is a wasteful number, since it uses less digits than its factorization.

18579268032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315801 (or 5315784 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 18579268032768 in words is "eighteen trillion, five hundred seventy-nine billion, two hundred sixty-eight million, thirty-two thousand, seven hundred sixty-eight".