686346712200 has 540 divisors, whose sum is σ = 2500769325285. Its totient is φ = 174449531520.

The previous prime is 686346712199. The next prime is 686346712231. The reversal of 686346712200 is 2217643686.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

686346712200 is a `hidden beast` number, since 6 + 8 + 63 + 467 + 122 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 672619777956 + 13726934244 = 820134^2 + 117162^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=585810.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2425253259 + ... + 2425253541.

Almost surely, 2^686346712200 is an apocalyptic number.

686346712200 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 686346712200

686346712200 is an abundant number, since it is smaller than the sum of its proper divisors (1814422613085).

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

686346712200 is a wasteful number, since it uses less digits than its factorization.

686346712200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 686346712200 in words is "six hundred eighty-six billion, three hundred forty-six million, seven hundred twelve thousand, two hundred".