18029075760 has 120 divisors (see below), whose sum is σ = 60582796560. Its totient is φ = 4804962816.

The previous prime is 18029075719. The next prime is 18029075777. The reversal of 18029075760 is 6757092081.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1431571 + ... + 1444109.

It is an arithmetic number, because the mean of its divisors is an integer number (504856638).

Almost surely, 2^18029075760 is an apocalyptic number.

18029075760 is a gapful number since it is divisible by the number (10) 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 18029075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30291398280).

18029075760 is an abundant number, since it is smaller than the sum of its proper divisors (42553720800).

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

18029075760 is a wasteful number, since it uses less digits than its factorization.

18029075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555 (or 14546 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 18029075760 in words is "eighteen billion, twenty-nine million, seventy-five thousand, seven hundred sixty".