18759037440 has 1280 divisors, whose sum is σ = 79194931200. Its totient is φ = 3715891200.

The previous prime is 18759037403. The next prime is 18759037441. The reversal of 18759037440 is 4473095781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18759037440.

It is not an unprimeable number, because it can be changed into a prime (18759037441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605130225 + ... + 605130255.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 2^18759037440 is an apocalyptic number.

18759037440 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 18759037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39597465600).

18759037440 is an abundant number, since it is smaller than the sum of its proper divisors (60435893760).

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

18759037440 is a wasteful number, since it uses less digits than its factorization.

18759037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 18759037440 in words is "eighteen billion, seven hundred fifty-nine million, thirty-seven thousand, four hundred forty".