18758481840 has 360 divisors, whose sum is σ = 73681779600. Its totient is φ = 4264307712.

The previous prime is 18758481817. The next prime is 18758481869. The reversal of 18758481840 is 4818485781.

18758481840 is a `hidden beast` number, since 1 + 8 + 7 + 584 + 8 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6948811 + ... + 6951509.

It is an arithmetic number, because the mean of its divisors is an integer number (204671610).

Almost surely, 2^18758481840 is an apocalyptic number.

18758481840 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 18758481840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36840889800).

18758481840 is an abundant number, since it is smaller than the sum of its proper divisors (54923297760).

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

18758481840 is a wasteful number, since it uses less digits than its factorization.

18758481840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 18758481840 in words is "eighteen billion, seven hundred fifty-eight million, four hundred eighty-one thousand, eight hundred forty".