687443906600 has 144 divisors (see below), whose sum is σ = 1766982648060. Its totient is φ = 248533120000.

The previous prime is 687443906593. The next prime is 687443906609. The reversal of 687443906600 is 6609344786.

It can be written as a sum of positive squares in 6 ways, for example, as 372253735876 + 315190170724 = 610126^2 + 561418^2 .

It is not an unprimeable number, because it can be changed into a prime (687443906609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4104500 + ... + 4268700.

Almost surely, 2^687443906600 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 687443906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883491324030).

687443906600 is an abundant number, since it is smaller than the sum of its proper divisors (1079538741460).

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

687443906600 is a wasteful number, since it uses less digits than its factorization.

687443906600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164412 (or 164392 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 687443906600 in words is "six hundred eighty-seven billion, four hundred forty-three million, nine hundred six thousand, six hundred".