18756771840 has 672 divisors, whose sum is σ = 71489383056. Its totient is φ = 4529848320.

The previous prime is 18756771829. The next prime is 18756771841. The reversal of 18756771840 is 4817765781.

18756771840 is a `hidden beast` number, since 1 + 8 + 7 + 567 + 71 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6227103744 + 12529668096 = 78912^2 + 111936^2 .

It is not an unprimeable number, because it can be changed into a prime (18756771841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256942044 + ... + 256942116.

Almost surely, 2^18756771840 is an apocalyptic number.

18756771840 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 18756771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35744691528).

18756771840 is an abundant number, since it is smaller than the sum of its proper divisors (52732611216).

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

18756771840 is a wasteful number, since it uses less digits than its factorization.

18756771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 18756771840 in words is "eighteen billion, seven hundred fifty-six million, seven hundred seventy-one thousand, eight hundred forty".