18975834720 has 144 divisors (see below), whose sum is σ = 65095011072. Its totient is φ = 5033656320.

The previous prime is 18975834719. The next prime is 18975834721. The reversal of 18975834720 is 2743857981.

It is a happy number.

18975834720 is a `hidden beast` number, since 1 + 8 + 97 + 5 + 83 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18975834719) and next prime (18975834721).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18975834721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240544 + ... + 309536.

It is an arithmetic number, because the mean of its divisors is an integer number (452048688).

Almost surely, 2^18975834720 is an apocalyptic number.

18975834720 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 18975834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547505536).

18975834720 is an abundant number, since it is smaller than the sum of its proper divisors (46119176352).

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

18975834720 is a wasteful number, since it uses less digits than its factorization.

18975834720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69205 (or 69194 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 18975834720 in words is "eighteen billion, nine hundred seventy-five million, eight hundred thirty-four thousand, seven hundred twenty".