684643719168 has 192 divisors, whose sum is σ = 2053763712000. Its totient is φ = 225324343296.

The previous prime is 684643719157. The next prime is 684643719169. The reversal of 684643719168 is 861917346486.

It is a happy number.

684643719168 is a `hidden beast` number, since 6 + 8 + 4 + 6 + 437 + 191 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×684643719168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684643719169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4290021 + ... + 4446747.

It is an arithmetic number, because the mean of its divisors is an integer number (10696686000).

Almost surely, 2^684643719168 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 684643719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026881856000).

684643719168 is an abundant number, since it is smaller than the sum of its proper divisors (1369119992832).

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

684643719168 is a wasteful number, since it uses less digits than its factorization.

684643719168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156837 (or 156811 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 684643719168 in words is "six hundred eighty-four billion, six hundred forty-three million, seven hundred nineteen thousand, one hundred sixty-eight".