686381827936896 has 1152 divisors, whose sum is σ = 2526353549516160. Its totient is φ = 180876906455040.

The previous prime is 686381827936837. The next prime is 686381827936993. The reversal of 686381827936896 is 698639728183686.

686381827936896 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 81 + 82 + 7 + 9 + 368 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×686381827936896² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 120059788630 + ... + 120059794346.

It is an arithmetic number, because the mean of its divisors is an integer number (2193015233955).

Almost surely, 2^{686381827936896} 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 686381827936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263176774758080).

686381827936896 is an abundant number, since it is smaller than the sum of its proper divisors (1839971721579264).

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

686381827936896 is an equidigital number, since it uses as much as digits as its factorization.

686381827936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7313 counting only the distinct ones).

The product of its digits is 54177693696, while the sum is 90.

The spelling of 686381827936896 in words is "six hundred eighty-six trillion, three hundred eighty-one billion, eight hundred twenty-seven million, nine hundred thirty-six thousand, eight hundred ninety-six".