686139727104 has 1296 divisors, whose sum is σ = 2449181629440. Its totient is φ = 183060725760.

The previous prime is 686139727099. The next prime is 686139727121. The reversal of 686139727104 is 401727931686.

686139727104 is a `hidden beast` number, since 6 + 8 + 613 + 9 + 7 + 2 + 7 + 10 + 4 = 666.

It is a super-2 number, since 2×686139727104² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7709435092 + ... + 7709435180.

It is an arithmetic number, because the mean of its divisors is an integer number (1889800640).

Almost surely, 2^686139727104 is an apocalyptic number.

686139727104 is a gapful number since it is divisible by the number (64) 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 686139727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224590814720).

686139727104 is an abundant number, since it is smaller than the sum of its proper divisors (1763041902336).

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

686139727104 is a wasteful number, since it uses less digits than its factorization.

686139727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 686139727104 in words is "six hundred eighty-six billion, one hundred thirty-nine million, seven hundred twenty-seven thousand, one hundred four".