18729221760 has 320 divisors, whose sum is σ = 68317413120. Its totient is φ = 4887558144.

The previous prime is 18729221743. The next prime is 18729221789. The reversal of 18729221760 is 6712292781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2432637 + ... + 2440323.

It is an arithmetic number, because the mean of its divisors is an integer number (213491916).

Almost surely, 2^18729221760 is an apocalyptic number.

18729221760 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 18729221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34158706560).

18729221760 is an abundant number, since it is smaller than the sum of its proper divisors (49588191360).

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

18729221760 is an equidigital number, since it uses as much as digits as its factorization.

18729221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 18729221760 in words is "eighteen billion, seven hundred twenty-nine million, two hundred twenty-one thousand, seven hundred sixty".