683641161495936 has 768 divisors, whose sum is σ = 2455321094553600. Its totient is φ = 184966278727680.

The previous prime is 683641161495889. The next prime is 683641161495961. The reversal of 683641161495936 is 639594161146386.

683641161495936 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 4 + 1 + 16 + 14 + 9 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 9973867681 + ... + 9973936223.

It is an arithmetic number, because the mean of its divisors is an integer number (3197032675200).

Almost surely, 2^{683641161495936} 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 683641161495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227660547276800).

683641161495936 is an abundant number, since it is smaller than the sum of its proper divisors (1771679933057664).

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

683641161495936 is a wasteful number, since it uses less digits than its factorization.

683641161495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71009 (or 70985 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 683641161495936 in words is "six hundred eighty-three trillion, six hundred forty-one billion, one hundred sixty-one million, four hundred ninety-five thousand, nine hundred thirty-six".