18267080832 has 1152 divisors, whose sum is σ = 75170833920. Its totient is φ = 4180377600.

The previous prime is 18267080827. The next prime is 18267080851. The reversal of 18267080832 is 23808076281.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250233948 + ... + 250234020.

It is an arithmetic number, because the mean of its divisors is an integer number (65252460).

Almost surely, 2^18267080832 is an apocalyptic number.

18267080832 is a gapful number since it is divisible by the number (12) 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 18267080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37585416960).

18267080832 is an abundant number, since it is smaller than the sum of its proper divisors (56903753088).

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

18267080832 is a wasteful number, since it uses less digits than its factorization.

18267080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18267080832 in words is "eighteen billion, two hundred sixty-seven million, eighty thousand, eight hundred thirty-two".