187296740064 has 144 divisors (see below), whose sum is σ = 617053443552. Its totient is φ = 52780253184.

The previous prime is 187296740051. The next prime is 187296740131. The reversal of 187296740064 is 460047692781.

187296740064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489169 + ... + 783504.

It is an arithmetic number, because the mean of its divisors is an integer number (4285093358).

Almost surely, 2^187296740064 is an apocalyptic number.

187296740064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

187296740064 is an abundant number, since it is smaller than the sum of its proper divisors (429756703488).

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

187296740064 is a wasteful number, since it uses less digits than its factorization.

187296740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272769 (or 1272758 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 187296740064 in words is "one hundred eighty-seven billion, two hundred ninety-six million, seven hundred forty thousand, sixty-four".