687861724160 has 352 divisors, whose sum is σ = 1882294122240. Its totient is φ = 239098134528.

The previous prime is 687861724129. The next prime is 687861724243. The reversal of 687861724160 is 61427168786.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 687861724096 and 687861724105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 211193252 + ... + 211196508.

Almost surely, 2^687861724160 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 687861724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941147061120).

687861724160 is an abundant number, since it is smaller than the sum of its proper divisors (1194432398080).

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

687861724160 is a wasteful number, since it uses less digits than its factorization.

687861724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 687861724160 in words is "six hundred eighty-seven billion, eight hundred sixty-one million, seven hundred twenty-four thousand, one hundred sixty".