18427082688 has 252 divisors, whose sum is σ = 63719473272. Its totient is φ = 5264663040.

The previous prime is 18427082671. The next prime is 18427082741. The reversal of 18427082688 is 88628072481.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-4 number, since 4×18427082688⁴ (a number of 42 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749958 + ... + 774138.

Almost surely, 2^18427082688 is an apocalyptic number.

18427082688 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 18427082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31859736636).

18427082688 is an abundant number, since it is smaller than the sum of its proper divisors (45292390584).

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

18427082688 is an equidigital number, since it uses as much as digits as its factorization.

18427082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24222 (or 24193 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 18427082688 in words is "eighteen billion, four hundred twenty-seven million, eighty-two thousand, six hundred eighty-eight".