673985606112 has 360 divisors, whose sum is σ = 2483167795416. Its totient is φ = 177754010112.

The previous prime is 673985606111. The next prime is 673985606117. The reversal of 673985606112 is 211606589376.

673985606112 is a `hidden beast` number, since 6 + 7 + 3 + 9 + 8 + 560 + 61 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673985606111) 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 59 ways as a sum of consecutive naturals, for example, 1447003 + ... + 1855205.

Almost surely, 2^673985606112 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 673985606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241583897708).

673985606112 is an abundant number, since it is smaller than the sum of its proper divisors (1809182189304).

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

673985606112 is a wasteful number, since it uses less digits than its factorization.

673985606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408252 (or 408228 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 673985606112 in words is "six hundred seventy-three billion, nine hundred eighty-five million, six hundred six thousand, one hundred twelve".