7260793344 has 420 divisors, whose sum is σ = 25366101354. Its totient is φ = 2069286912.

The previous prime is 7260793333. The next prime is 7260793391. The reversal of 7260793344 is 4433970627.

7260793344 is a `hidden beast` number, since 7 + 2 + 607 + 9 + 3 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5715360000 + 1545433344 = 75600^2 + 39312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7260793344.

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 41 ways as a sum of consecutive naturals, for example, 18288954 + ... + 18289350.

Almost surely, 2^7260793344 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 7260793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683050677).

7260793344 is an abundant number, since it is smaller than the sum of its proper divisors (18105308010).

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

7260793344 is an frugal number, since it uses more digits than its factorization.

7260793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 7260793344 is about 85210.2889562053. The cubic root of 7260793344 is about 1936.3982970334.

The spelling of 7260793344 in words is "seven billion, two hundred sixty million, seven hundred ninety-three thousand, three hundred forty-four".