7047320400 has 360 divisors, whose sum is σ = 25923474720. Its totient is φ = 1767951360.

The previous prime is 7047320351. The next prime is 7047320417. The reversal of 7047320400 is 40237407.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13474539 + ... + 13475061.

It is an arithmetic number, because the mean of its divisors is an integer number (72009652).

Almost surely, 2^7047320400 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 7047320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961737360).

7047320400 is an abundant number, since it is smaller than the sum of its proper divisors (18876154320).

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

7047320400 is a wasteful number, since it uses less digits than its factorization.

7047320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 7047320400 is about 83948.3198164204. The cubic root of 7047320400 is about 1917.2320140289.

Adding to 7047320400 its reverse (40237407), we get a palindrome (7087557807).

The spelling of 7047320400 in words is "seven billion, forty-seven million, three hundred twenty thousand, four hundred".