18745758720 has 1056 divisors, whose sum is σ = 77610449280. Its totient is φ = 4299816960.

The previous prime is 18745758697. The next prime is 18745758721. The reversal of 18745758720 is 2785754781.

18745758720 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 57 + 587 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18745758721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307307490 + ... + 307307550.

Almost surely, 2^18745758720 is an apocalyptic number.

18745758720 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 18745758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38805224640).

18745758720 is an abundant number, since it is smaller than the sum of its proper divisors (58864690560).

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

18745758720 is a wasteful number, since it uses less digits than its factorization.

18745758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 18745758720 in words is "eighteen billion, seven hundred forty-five million, seven hundred fifty-eight thousand, seven hundred twenty".