7406323600 has 135 divisors (see below), whose sum is σ = 19326112659. Its totient is φ = 2726380800.

The previous prime is 7406323597. The next prime is 7406323621. The reversal of 7406323600 is 63236047.

The square root of 7406323600 is 86060.

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 1908990864 + 5497332736 = 43692^2 + 74144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22375435 + ... + 22375765.

Almost surely, 2^7406323600 is an apocalyptic number.

7406323600 is the 86060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7406323600

7406323600 is an abundant number, since it is smaller than the sum of its proper divisors (11919789059).

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

7406323600 is a wasteful number, since it uses less digits than its factorization.

7406323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The cubic root of 7406323600 is about 1949.2500820089.

Adding to 7406323600 its reverse (63236047), we get a palindrome (7469559647).

The spelling of 7406323600 in words is "seven billion, four hundred six million, three hundred twenty-three thousand, six hundred".