686544768 has 512 divisors, whose sum is σ = 2604672000. Its totient is φ = 173187072.

The previous prime is 686544737. The next prime is 686544787. The reversal of 686544768 is 867445686.

686544768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11636323 + ... + 11636381.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 2^686544768 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 686544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302336000).

686544768 is an abundant number, since it is smaller than the sum of its proper divisors (1918127232).

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

686544768 is a wasteful number, since it uses less digits than its factorization.

686544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 686544768 is about 26201.9993130295. Note that the first 3 decimals coincide. The cubic root of 686544768 is about 882.1781305267.

The spelling of 686544768 in words is "six hundred eighty-six million, five hundred forty-four thousand, seven hundred sixty-eight".