684026666866368 has 1008 divisors, whose sum is σ = 2379684303360000. Its totient is φ = 187763892341760.

The previous prime is 684026666866357. The next prime is 684026666866409. The reversal of 684026666866368 is 863668666620486.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×684026666866368² (a number of 30 digits) contains 22 as substring.

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, 26390922913 + ... + 26390948831.

It is an arithmetic number, because the mean of its divisors is an integer number (2360797920000).

Almost surely, 2^{684026666866368} 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 684026666866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189842151680000).

684026666866368 is an abundant number, since it is smaller than the sum of its proper divisors (1695657636493632).

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

684026666866368 is a wasteful number, since it uses less digits than its factorization.

684026666866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26159 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 20639121408, while the sum is 81.

The spelling of 684026666866368 in words is "six hundred eighty-four trillion, twenty-six billion, six hundred sixty-six million, eight hundred sixty-six thousand, three hundred sixty-eight".