674516752 has 180 divisors, whose sum is σ = 1746750180. Its totient is φ = 250048512.

The previous prime is 674516749. The next prime is 674516767. The reversal of 674516752 is 257615476.

It can be written as a sum of positive squares in 6 ways, for example, as 83832336 + 590684416 = 9156^2 + 24304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 674516699 and 674516708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2945374 + ... + 2945602.

Almost surely, 2^674516752 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 674516752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873375090).

674516752 is an abundant number, since it is smaller than the sum of its proper divisors (1072233428).

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

674516752 is a wasteful number, since it uses less digits than its factorization.

674516752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

The square root of 674516752 is about 25971.4603362999. The cubic root of 674516752 is about 876.9959343433.

The spelling of 674516752 in words is "six hundred seventy-four million, five hundred sixteen thousand, seven hundred fifty-two".