686605710672 has 880 divisors, whose sum is σ = 2505190228992. Its totient is φ = 177770557440.

The previous prime is 686605710671. The next prime is 686605710697. The reversal of 686605710672 is 276017506686.

686605710672 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 0 + 571 + 0 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686605710671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 3485308078 + ... + 3485308274.

Almost surely, 2^686605710672 is an apocalyptic number.

686605710672 is a gapful number since it is divisible by the number (62) 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 686605710672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252595114496).

686605710672 is an abundant number, since it is smaller than the sum of its proper divisors (1818584518320).

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

686605710672 is a wasteful number, since it uses less digits than its factorization.

686605710672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 686605710672 in words is "six hundred eighty-six billion, six hundred five million, seven hundred ten thousand, six hundred seventy-two".