7407320328200 has 144 divisors (see below), whose sum is σ = 18653172889500. Its totient is φ = 2734354022400.

The previous prime is 7407320328151. The next prime is 7407320328223. The reversal of 7407320328200 is 28230237047.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 4329071132164 + 3078249196036 = 2080642^2 + 1754494^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154137776 + ... + 154185824.

Almost surely, 2^{7407320328200} 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 7407320328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326586444750).

7407320328200 is an abundant number, since it is smaller than the sum of its proper divisors (11245852561300).

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

7407320328200 is a wasteful number, since it uses less digits than its factorization.

7407320328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52652 (or 52630 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 7407320328200 in words is "seven trillion, four hundred seven billion, three hundred twenty million, three hundred twenty-eight thousand, two hundred".