684961593344 has 384 divisors, whose sum is σ = 1778097484800. Its totient is φ = 256714997760.

The previous prime is 684961593301. The next prime is 684961593347. The reversal of 684961593344 is 443395169486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684961593347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 245416589 + ... + 245419379.

It is an arithmetic number, because the mean of its divisors is an integer number (4630462200).

Almost surely, 2^684961593344 is an apocalyptic number.

684961593344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684961593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889048742400).

684961593344 is an abundant number, since it is smaller than the sum of its proper divisors (1093135891456).

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

684961593344 is a wasteful number, since it uses less digits than its factorization.

684961593344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2889 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 62.

The spelling of 684961593344 in words is "six hundred eighty-four billion, nine hundred sixty-one million, five hundred ninety-three thousand, three hundred forty-four".