18836274960 has 120 divisors (see below), whose sum is σ = 63320572224. Its totient is φ = 5018077440.

The previous prime is 18836274953. The next prime is 18836275013. The reversal of 18836274960 is 6947263881.

18836274960 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 627 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 18836274897 and 18836274906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753055 + ... + 777665.

Almost surely, 2^18836274960 is an apocalyptic number.

18836274960 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 18836274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31660286112).

18836274960 is an abundant number, since it is smaller than the sum of its proper divisors (44484297264).

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

18836274960 is a wasteful number, since it uses less digits than its factorization.

18836274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25693 (or 25684 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 18836274960 in words is "eighteen billion, eight hundred thirty-six million, two hundred seventy-four thousand, nine hundred sixty".