7322400000 has 540 divisors, whose sum is σ = 27532355004. Its totient is φ = 1935360000.

The previous prime is 7322399983. The next prime is 7322400013. The reversal of 7322400000 is 42237.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7242690816 + 79709184 = 85104^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64799944 + ... + 64800056.

Almost surely, 2^7322400000 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 7322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766177502).

7322400000 is an abundant number, since it is smaller than the sum of its proper divisors (20209955004).

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

7322400000 is an frugal number, since it uses more digits than its factorization.

7322400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 7322400000 is about 85571.0231328339. The cubic root of 7322400000 is about 1941.8595554187.

Adding to 7322400000 its reverse (42237), we get a palindrome (7322442237).

The spelling of 7322400000 in words is "seven billion, three hundred twenty-two million, four hundred thousand".