684505737216 has 288 divisors, whose sum is σ = 2263047958080. Its totient is φ = 195257696256.

The previous prime is 684505737191. The next prime is 684505737317. The reversal of 684505737216 is 612737505486.

684505737216 is a `hidden beast` number, since 6 + 8 + 4 + 50 + 573 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86829211 + ... + 86837093.

It is an arithmetic number, because the mean of its divisors is an integer number (7857805410).

Almost surely, 2^684505737216 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 684505737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131523979040).

684505737216 is an abundant number, since it is smaller than the sum of its proper divisors (1578542220864).

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

684505737216 is a wasteful number, since it uses less digits than its factorization.

684505737216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 684505737216 in words is "six hundred eighty-four billion, five hundred five million, seven hundred thirty-seven thousand, two hundred sixteen".