684504437063904 has 384 divisors, whose sum is σ = 2196746625024000. Its totient is φ = 206424403845120.

The previous prime is 684504437063899. The next prime is 684504437063959. The reversal of 684504437063904 is 409360734405486.

684504437063904 is a `hidden beast` number, since 6 + 8 + 4 + 50 + 4 + 437 + 0 + 63 + 90 + 4 = 666.

It is a super-2 number, since 2×684504437063904² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62799169 + ... + 72888575.

It is an arithmetic number, because the mean of its divisors is an integer number (5720694336000).

Almost surely, 2^{684504437063904} 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 684504437063904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098373312512000).

684504437063904 is an abundant number, since it is smaller than the sum of its proper divisors (1512242187960096).

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

684504437063904 is a wasteful number, since it uses less digits than its factorization.

684504437063904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089623 (or 10089609 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 684504437063904 in words is "six hundred eighty-four trillion, five hundred four billion, four hundred thirty-seven million, sixty-three thousand, nine hundred four".