684286310656 has 243 divisors, whose sum is σ = 1531795400793. Its totient is φ = 304944906240.

The previous prime is 684286310651. The next prime is 684286310663. The reversal of 684286310656 is 656013682486.

The square root of 684286310656 is 827216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 651597670656 + 32688640000 = 807216^2 + 180800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 684286310597 and 684286310606.

It is not an unprimeable number, because it can be changed into a prime (684286310651) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 7054498000 + ... + 7054498096.

Almost surely, 2^684286310656 is an apocalyptic number.

684286310656 is the 827216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684286310656

684286310656 is an abundant number, since it is smaller than the sum of its proper divisors (847509090137).

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

684286310656 is an frugal number, since it uses more digits than its factorization.

684286310656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 684286310656 in words is "six hundred eighty-four billion, two hundred eighty-six million, three hundred ten thousand, six hundred fifty-six".