7338106720 has 288 divisors, whose sum is σ = 21084053760. Its totient is φ = 2403717120.

The previous prime is 7338106697. The next prime is 7338106799. The reversal of 7338106720 is 276018337.

It is a self number, because there is not a number n which added to its sum of digits gives 7338106720.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26491222 + ... + 26491498.

It is an arithmetic number, because the mean of its divisors is an integer number (73208520).

Almost surely, 2^7338106720 is an apocalyptic number.

7338106720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7338106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542026880).

7338106720 is an abundant number, since it is smaller than the sum of its proper divisors (13745947040).

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

7338106720 is a wasteful number, since it uses less digits than its factorization.

7338106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 7338106720 is about 85662.7498974904. The cubic root of 7338106720 is about 1943.2470086378.

The spelling of 7338106720 in words is "seven billion, three hundred thirty-eight million, one hundred six thousand, seven hundred twenty".