684181343664 has 480 divisors, whose sum is σ = 2498609078784. Its totient is φ = 169600573440.

The previous prime is 684181343641. The next prime is 684181343707. The reversal of 684181343664 is 466343181486.

684181343664 is a `hidden beast` number, since 6 + 8 + 418 + 134 + 36 + 64 = 666.

684181343664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×684181343664² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 684181343664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216306147 + ... + 216309309.

Almost surely, 2^684181343664 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 684181343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249304539392).

684181343664 is an abundant number, since it is smaller than the sum of its proper divisors (1814427735120).

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

684181343664 is a wasteful number, since it uses less digits than its factorization.

684181343664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4176 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 684181343664 in words is "six hundred eighty-four billion, one hundred eighty-one million, three hundred forty-three thousand, six hundred sixty-four".