674436880000 has 320 divisors, whose sum is σ = 1852337468520. Its totient is φ = 242933760000.

The previous prime is 674436879989. The next prime is 674436880009. The reversal of 674436880000 is 88634476.

It can be written as a sum of positive squares in 20 ways, for example, as 432679790656 + 241757089344 = 657784^2 + 491688^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×674436880000³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (674436880009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42632092 + ... + 42647908.

Almost surely, 2^674436880000 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 674436880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926168734260).

674436880000 is an abundant number, since it is smaller than the sum of its proper divisors (1177900588520).

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

674436880000 is a wasteful number, since it uses less digits than its factorization.

674436880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15905 (or 15878 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 674436880000 in words is "six hundred seventy-four billion, four hundred thirty-six million, eight hundred eighty thousand".