674764800 has 288 divisors, whose sum is σ = 2339850240. Its totient is φ = 171212800.

The previous prime is 674764789. The next prime is 674764801. The reversal of 674764800 is 8467476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674764801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532705 + ... + 3532895.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2^674764800 is an apocalyptic number.

674764800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

674764800 is an abundant number, since it is smaller than the sum of its proper divisors (1665085440).

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

674764800 is a wasteful number, since it uses less digits than its factorization.

674764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 674764800 is about 25976.2352930520. The cubic root of 674764800 is about 877.1034238541.

The spelling of 674764800 in words is "six hundred seventy-four million, seven hundred sixty-four thousand, eight hundred".