687387066912 has 576 divisors, whose sum is σ = 2592690508800. Its totient is φ = 175436513280.

The previous prime is 687387066911. The next prime is 687387066917. The reversal of 687387066912 is 219660783786.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 687387066912.

It is not an unprimeable number, because it can be changed into a prime (687387066911) 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 95 ways as a sum of consecutive naturals, for example, 17041264 + ... + 17081552.

It is an arithmetic number, because the mean of its divisors is an integer number (4501198800).

Almost surely, 2^687387066912 is an apocalyptic number.

687387066912 is a gapful number since it is divisible by the number (62) 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 687387066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296345254400).

687387066912 is an abundant number, since it is smaller than the sum of its proper divisors (1905303441888).

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

687387066912 is a wasteful number, since it uses less digits than its factorization.

687387066912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40366 (or 40345 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 687387066912 in words is "six hundred eighty-seven billion, three hundred eighty-seven million, sixty-six thousand, nine hundred twelve".