7313405760 has 336 divisors, whose sum is σ = 26292267456. Its totient is φ = 1934917632.

The previous prime is 7313405747. The next prime is 7313405777. The reversal of 7313405760 is 675043137.

7313405760 is a `hidden beast` number, since 73 + 13 + 4 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12674592 + ... + 12675168.

It is an arithmetic number, because the mean of its divisors is an integer number (78250796).

Almost surely, 2^7313405760 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 7313405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146133728).

7313405760 is an abundant number, since it is smaller than the sum of its proper divisors (18978861696).

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

7313405760 is a wasteful number, since it uses less digits than its factorization.

7313405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 7313405760 is about 85518.4527455917. The cubic root of 7313405760 is about 1941.0641556018.

Adding to 7313405760 its reverse (675043137), we get a palindrome (7988448897).

The spelling of 7313405760 in words is "seven billion, three hundred thirteen million, four hundred five thousand, seven hundred sixty".