18132000768 has 448 divisors, whose sum is σ = 62910720000. Its totient is φ = 5158895616.

The previous prime is 18132000737. The next prime is 18132000787. The reversal of 18132000768 is 86700023181.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75865993 + ... + 75866231.

Almost surely, 2^18132000768 is an apocalyptic number.

18132000768 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 18132000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455360000).

18132000768 is an abundant number, since it is smaller than the sum of its proper divisors (44778719232).

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

18132000768 is an frugal number, since it uses more digits than its factorization.

18132000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18132000768 in words is "eighteen billion, one hundred thirty-two million, seven hundred sixty-eight", and thus it is an aban number.