674065875168 has 720 divisors, whose sum is σ = 2364567148944. Its totient is φ = 187768627200.

The previous prime is 674065875113. The next prime is 674065875187. The reversal of 674065875168 is 861578560476.

674065875168 is a `hidden beast` number, since 6 + 7 + 40 + 6 + 587 + 5 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 961577218 + ... + 961577918.

Almost surely, 2^674065875168 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 674065875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182283574472).

674065875168 is an abundant number, since it is smaller than the sum of its proper divisors (1690501273776).

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

674065875168 is a wasteful number, since it uses less digits than its factorization.

674065875168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 674065875168 in words is "six hundred seventy-four billion, sixty-five million, eight hundred seventy-five thousand, one hundred sixty-eight".