187712667648 has 304 divisors, whose sum is σ = 606998517120. Its totient is φ = 56859033600.

The previous prime is 187712667631. The next prime is 187712667707. The reversal of 187712667648 is 846766217781.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77855563 + ... + 77857973.

Almost surely, 2^187712667648 is an apocalyptic number.

187712667648 is a gapful number since it is divisible by the number (18) 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 187712667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303499258560).

187712667648 is an abundant number, since it is smaller than the sum of its proper divisors (419285849472).

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

187712667648 is an frugal number, since it uses more digits than its factorization.

187712667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2427 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 187712667648 in words is "one hundred eighty-seven billion, seven hundred twelve million, six hundred sixty-seven thousand, six hundred forty-eight".