684306324626688 has 216 divisors, whose sum is σ = 2010692506612608. Its totient is φ = 223749109149696.

The previous prime is 684306324626651. The next prime is 684306324626689. The reversal of 684306324626688 is 886626423603486.

684306324626688 is a `hidden beast` number, since 6 + 8 + 4 + 30 + 6 + 324 + 6 + 266 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684306324626689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557071981 + ... + 558299027.

It is an arithmetic number, because the mean of its divisors is an integer number (9308761604688).

Almost surely, 2^{684306324626688} 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 684306324626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005346253306304).

684306324626688 is an abundant number, since it is smaller than the sum of its proper divisors (1326386181985920).

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

684306324626688 is a wasteful number, since it uses less digits than its factorization.

684306324626688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231689 (or 1231672 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 72.

The spelling of 684306324626688 in words is "six hundred eighty-four trillion, three hundred six billion, three hundred twenty-four million, six hundred twenty-six thousand, six hundred eighty-eight".