674334720 has 288 divisors, whose sum is σ = 2432626560. Its totient is φ = 179159040.

The previous prime is 674334701. The next prime is 674334721. The reversal of 674334720 is 27433476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (674334721) 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, 2488185 + ... + 2488455.

It is an arithmetic number, because the mean of its divisors is an integer number (8446620).

Almost surely, 2^674334720 is an apocalyptic number.

674334720 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 674334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216313280).

674334720 is an abundant number, since it is smaller than the sum of its proper divisors (1758291840).

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

674334720 is an equidigital number, since it uses as much as digits as its factorization.

674334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 674334720 is about 25967.9556376701. The cubic root of 674334720 is about 876.9170355433.

The spelling of 674334720 in words is "six hundred seventy-four million, three hundred thirty-four thousand, seven hundred twenty".