687301636608 has 240 divisors, whose sum is σ = 2003975880192. Its totient is φ = 226759680000.

The previous prime is 687301636607. The next prime is 687301636717. The reversal of 687301636608 is 806636103786.

It is not an unprimeable number, because it can be changed into a prime (687301636607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185705158 + ... + 185708858.

Almost surely, 2^687301636608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687301636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001987940096).

687301636608 is an abundant number, since it is smaller than the sum of its proper divisors (1316674243584).

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

687301636608 is a wasteful number, since it uses less digits than its factorization.

687301636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 687301636608 in words is "six hundred eighty-seven billion, three hundred one million, six hundred thirty-six thousand, six hundred eight".