684348188832 has 1920 divisors, whose sum is σ = 2810142720000. Its totient is φ = 161310320640.

The previous prime is 684348188809. The next prime is 684348188833. The reversal of 684348188832 is 238881843486.

684348188832 is a `hidden beast` number, since 6 + 8 + 43 + 481 + 8 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 684348188832.

It is not an unprimeable number, because it can be changed into a prime (684348188833) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5388568353 + ... + 5388568479.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616000).

Almost surely, 2^684348188832 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 684348188832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360000).

684348188832 is an abundant number, since it is smaller than the sum of its proper divisors (2125794531168).

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

684348188832 is a wasteful number, since it uses less digits than its factorization.

684348188832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The spelling of 684348188832 in words is "six hundred eighty-four billion, three hundred forty-eight million, one hundred eighty-eight thousand, eight hundred thirty-two".