186728405760 has 1440 divisors, whose sum is σ = 767851983360. Its totient is φ = 42998169600.

The previous prime is 186728405737. The next prime is 186728405779. The reversal of 186728405760 is 67504827681.

186728405760 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 28 + 40 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 186728405697 and 186728405706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1713104586 + ... + 1713104694.

It is an arithmetic number, because the mean of its divisors is an integer number (533230544).

Almost surely, 2^186728405760 is an apocalyptic number.

186728405760 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 186728405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383925991680).

186728405760 is an abundant number, since it is smaller than the sum of its proper divisors (581123577600).

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

186728405760 is a wasteful number, since it uses less digits than its factorization.

186728405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 186728405760 in words is "one hundred eighty-six billion, seven hundred twenty-eight million, four hundred five thousand, seven hundred sixty".