7345000000 has 224 divisors, whose sum is σ = 19794089952. Its totient is φ = 2688000000.

The previous prime is 7344999983. The next prime is 7345000007. The reversal of 7345000000 is 5437.

It can be written as a sum of positive squares in 16 ways, for example, as 186486336 + 7158513664 = 13656^2 + 84608^2 .

It is not an unprimeable number, because it can be changed into a prime (7345000007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64999944 + ... + 65000056.

It is an arithmetic number, because the mean of its divisors is an integer number (88366473).

Almost surely, 2^7345000000 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 7345000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897044976).

7345000000 is an abundant number, since it is smaller than the sum of its proper divisors (12449089952).

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

7345000000 is an frugal number, since it uses more digits than its factorization.

7345000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 7345000000 is about 85702.9754442633. The cubic root of 7345000000 is about 1943.8553014847.

Adding to 7345000000 its reverse (5437), we get a palindrome (7345005437).

The spelling of 7345000000 in words is "seven billion, three hundred forty-five million", and thus it is an aban number.