187682907664 has 80 divisors (see below), whose sum is σ = 430864645120. Its totient is φ = 77500592640.

The previous prime is 187682907653. The next prime is 187682907667. The reversal of 187682907664 is 466709286781.

It is a super-3 number, since 3×187682907664³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 187682907596 and 187682907605.

It is not an unprimeable number, because it can be changed into a prime (187682907667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677062 + ... + 913114.

It is an arithmetic number, because the mean of its divisors is an integer number (5385808064).

Almost surely, 2^187682907664 is an apocalyptic number.

187682907664 is a gapful number since it is divisible by the number (14) 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 187682907664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432322560).

187682907664 is an abundant number, since it is smaller than the sum of its proper divisors (243181737456).

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

187682907664 is a wasteful number, since it uses less digits than its factorization.

187682907664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236328 (or 236322 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

The spelling of 187682907664 in words is "one hundred eighty-seven billion, six hundred eighty-two million, nine hundred seven thousand, six hundred sixty-four".