674089680 has 320 divisors, whose sum is σ = 2399275008. Its totient is φ = 155105280.

The previous prime is 674089679. The next prime is 674089687. The reversal of 674089680 is 86980476.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674089687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6544509 + ... + 6544611.

Almost surely, 2^674089680 is an apocalyptic number.

674089680 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 674089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199637504).

674089680 is an abundant number, since it is smaller than the sum of its proper divisors (1725185328).

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

674089680 is a wasteful number, since it uses less digits than its factorization.

674089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 674089680 is about 25963.2370863111. The cubic root of 674089680 is about 876.8108045292.

The spelling of 674089680 in words is "six hundred seventy-four million, eighty-nine thousand, six hundred eighty".