674436672 has 224 divisors, whose sum is σ = 2440838400. Its totient is φ = 177831936.

The previous prime is 674436661. The next prime is 674436677. The reversal of 674436672 is 276634476.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674436677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155104 + ... + 159392.

It is an arithmetic number, because the mean of its divisors is an integer number (10896600).

Almost surely, 2^674436672 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 674436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220419200).

674436672 is an abundant number, since it is smaller than the sum of its proper divisors (1766401728).

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

674436672 is a wasteful number, since it uses less digits than its factorization.

674436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4314 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 674436672 is about 25969.9185982552. The cubic root of 674436672 is about 876.9612267230.

The spelling of 674436672 in words is "six hundred seventy-four million, four hundred thirty-six thousand, six hundred seventy-two".