7329338624 has 72 divisors (see below), whose sum is σ = 15062460840. Its totient is φ = 3557818368.

The previous prime is 7329338579. The next prime is 7329338629. The reversal of 7329338624 is 4268339237.

It can be written as a sum of positive squares in 4 ways, for example, as 676000000 + 6653338624 = 26000^2 + 81568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7329338629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1313312 + ... + 1318880.

It is an arithmetic number, because the mean of its divisors is an integer number (209200845).

Almost surely, 2^7329338624 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 7329338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531230420).

7329338624 is an abundant number, since it is smaller than the sum of its proper divisors (7733122216).

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

7329338624 is an equidigital number, since it uses as much as digits as its factorization.

7329338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5721 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 47.

The square root of 7329338624 is about 85611.5566030662. The cubic root of 7329338624 is about 1942.4727232176.

The spelling of 7329338624 in words is "seven billion, three hundred twenty-nine million, three hundred thirty-eight thousand, six hundred twenty-four".