683673304580000 has 360 divisors, whose sum is σ = 2071631852582292. Its totient is φ = 220613901312000.

The previous prime is 683673304579963. The next prime is 683673304580027. The reversal of 683673304580000 is 85403376386.

683673304580000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 146200116072976 + 537473188507024 = 12091324^2 + 23183468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3858407 + ... + 37178406.

Almost surely, 2^{683673304580000} 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 683673304580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035815926291146).

683673304580000 is an abundant number, since it is smaller than the sum of its proper divisors (1387958548002292).

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

683673304580000 is a wasteful number, since it uses less digits than its factorization.

683673304580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41036874 (or 41036844 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 683673304580000 in words is "six hundred eighty-three trillion, six hundred seventy-three billion, three hundred four million, five hundred eighty thousand".