7313670400 has 81 divisors (see below), whose sum is σ = 18119426871. Its totient is φ = 2922731520.

The previous prime is 7313670383. The next prime is 7313670421. The reversal of 7313670400 is 40763137.

The square root of 7313670400 is 85520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 219988224 + 7093682176 = 14832^2 + 84224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6841066 + ... + 6842134.

Almost surely, 2^7313670400 is an apocalyptic number.

7313670400 is the 85520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7313670400

7313670400 is an abundant number, since it is smaller than the sum of its proper divisors (10805756471).

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

7313670400 is an frugal number, since it uses more digits than its factorization.

7313670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The cubic root of 7313670400 is about 1941.0875681786.

The spelling of 7313670400 in words is "seven billion, three hundred thirteen million, six hundred seventy thousand, four hundred".