686761518240 has 576 divisors, whose sum is σ = 2724004588032. Its totient is φ = 154312704000.

The previous prime is 686761518211. The next prime is 686761518271. The reversal of 686761518240 is 42815167686.

686761518240 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 615 + 18 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286986484 + ... + 286988876.

It is an arithmetic number, because the mean of its divisors is an integer number (4729174632).

Almost surely, 2^686761518240 is an apocalyptic number.

686761518240 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 686761518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362002294016).

686761518240 is an abundant number, since it is smaller than the sum of its proper divisors (2037243069792).

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

686761518240 is a wasteful number, since it uses less digits than its factorization.

686761518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 686761518240 in words is "six hundred eighty-six billion, seven hundred sixty-one million, five hundred eighteen thousand, two hundred forty".