674665104400 has 135 divisors (see below), whose sum is σ = 1885838289789. Its totient is φ = 231274323840.

The previous prime is 674665104389. The next prime is 674665104401. The reversal of 674665104400 is 4401566476.

The square root of 674665104400 is 821380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 242879437584 + 431785666816 = 492828^2 + 657104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (674665104401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114990267 + ... + 114996133.

Almost surely, 2^674665104400 is an apocalyptic number.

674665104400 is the 821380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674665104400

674665104400 is an abundant number, since it is smaller than the sum of its proper divisors (1211173185389).

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

674665104400 is an frugal number, since it uses more digits than its factorization.

674665104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 674665104400 in words is "six hundred seventy-four billion, six hundred sixty-five million, one hundred four thousand, four hundred".