687688590960 has 360 divisors, whose sum is σ = 2694206108880. Its totient is φ = 156737839104.

The previous prime is 687688590937. The next prime is 687688591001. The reversal of 687688590960 is 69095886786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12426231 + ... + 12481449.

It is an arithmetic number, because the mean of its divisors is an integer number (7483905858).

Almost surely, 2^687688590960 is an apocalyptic number.

687688590960 is a gapful number since it is divisible by the number (60) 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 687688590960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347103054440).

687688590960 is an abundant number, since it is smaller than the sum of its proper divisors (2006517517920).

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

687688590960 is a wasteful number, since it uses less digits than its factorization.

687688590960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55605 (or 55589 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 687688590960 in words is "six hundred eighty-seven billion, six hundred eighty-eight million, five hundred ninety thousand, nine hundred sixty".