687708807786 has 192 divisors, whose sum is σ = 2017147781376. Its totient is φ = 164884705920.

The previous prime is 687708807767. The next prime is 687708807787.

687708807786 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (687708807787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2022460 + ... + 2337896.

It is an arithmetic number, because the mean of its divisors is an integer number (10505978028).

Almost surely, 2^687708807786 is an apocalyptic number.

687708807786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 687708807786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008573890688).

687708807786 is an abundant number, since it is smaller than the sum of its proper divisors (1329438973590).

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

687708807786 is a wasteful number, since it uses less digits than its factorization.

687708807786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315498 (or 315473 counting only the distinct ones).

The product of its (nonzero) digits is 354041856, while the sum is 72.

The spelling of 687708807786 in words is "six hundred eighty-seven billion, seven hundred eight million, eight hundred seven thousand, seven hundred eighty-six".