187474044960 has 288 divisors, whose sum is σ = 679708214640. Its totient is φ = 46964219904.

The previous prime is 187474044941. The next prime is 187474045007. The reversal of 187474044960 is 69440474781.

187474044960 is a `hidden beast` number, since 1 + 8 + 74 + 74 + 0 + 449 + 60 = 666.

187474044960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 95933911824 + 91540133136 = 309732^2 + 302556^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 187474044897 and 187474044906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1484454 + ... + 1605786.

Almost surely, 2^187474044960 is an apocalyptic number.

187474044960 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 187474044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339854107320).

187474044960 is an abundant number, since it is smaller than the sum of its proper divisors (492234169680).

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

187474044960 is a wasteful number, since it uses less digits than its factorization.

187474044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121420 (or 121409 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 187474044960 in words is "one hundred eighty-seven billion, four hundred seventy-four million, forty-four thousand, nine hundred sixty".