187328010240 has 2304 divisors, whose sum is σ = 883104768000. Its totient is φ = 35672555520.

The previous prime is 187328010197. The next prime is 187328010299. The reversal of 187328010240 is 42010823781.

187328010240 is a `hidden beast` number, since 1 + 87 + 328 + 0 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 187328010195 and 187328010204.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6042839025 + ... + 6042839055.

It is an arithmetic number, because the mean of its divisors is an integer number (383292000).

Almost surely, 2^187328010240 is an apocalyptic number.

187328010240 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 187328010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441552384000).

187328010240 is an abundant number, since it is smaller than the sum of its proper divisors (695776757760).

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

187328010240 is a wasteful number, since it uses less digits than its factorization.

187328010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 187328010240 in words is "one hundred eighty-seven billion, three hundred twenty-eight million, ten thousand, two hundred forty".