187968650688 has 504 divisors, whose sum is σ = 677014792272. Its totient is φ = 49422901248.

The previous prime is 187968650687. The next prime is 187968650693. The reversal of 187968650688 is 886056869781.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187968650687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171347356 + ... + 171348452.

It is an arithmetic number, because the mean of its divisors is an integer number (1343283318).

Almost surely, 2^187968650688 is an apocalyptic number.

187968650688 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 187968650688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338507396136).

187968650688 is an abundant number, since it is smaller than the sum of its proper divisors (489046141584).

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

187968650688 is a wasteful number, since it uses less digits than its factorization.

187968650688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 187968650688 in words is "one hundred eighty-seven billion, nine hundred sixty-eight million, six hundred fifty thousand, six hundred eighty-eight".