7330406400 has 504 divisors, whose sum is σ = 27175268484. Its totient is φ = 1887436800.

The previous prime is 7330406339. The next prime is 7330406401. The reversal of 7330406400 is 46040337.

It can be written as a sum of positive squares in 6 ways, for example, as 796594176 + 6533812224 = 28224^2 + 80832^2 .

It is not an unprimeable number, because it can be changed into a prime (7330406401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75571152 + ... + 75571248.

Almost surely, 2^7330406400 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 7330406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587634242).

7330406400 is an abundant number, since it is smaller than the sum of its proper divisors (19844862084).

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

7330406400 is a wasteful number, since it uses less digits than its factorization.

7330406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 7330406400 is about 85617.7925433727. The cubic root of 7330406400 is about 1942.5670484651.

Adding to 7330406400 its reverse (46040337), we get a palindrome (7376446737).

The spelling of 7330406400 in words is "seven billion, three hundred thirty million, four hundred six thousand, four hundred".