674793504 has 576 divisors, whose sum is σ = 2641766400. Its totient is φ = 167650560.

The previous prime is 674793491. The next prime is 674793517. The reversal of 674793504 is 405397476.

674793504 is a `hidden beast` number, since 6 + 74 + 79 + 3 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (674793491) and next prime (674793517).

It is a self number, because there is not a number n which added to its sum of digits gives 674793504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29338837 + ... + 29338859.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^674793504 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 674793504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

674793504 is an abundant number, since it is smaller than the sum of its proper divisors (1966972896).

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

674793504 is a wasteful number, since it uses less digits than its factorization.

674793504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 674793504 is about 25976.7877921809. The cubic root of 674793504 is about 877.1158607900.

The spelling of 674793504 in words is "six hundred seventy-four million, seven hundred ninety-three thousand, five hundred four".