7725506264320 has 288 divisors, whose sum is σ = 21168383013792. Its totient is φ = 2676092829696.

The previous prime is 7725506264317. The next prime is 7725506264389. The reversal of 7725506264320 is 234626055277.

It can be written as a sum of positive squares in 16 ways, for example, as 5824460945664 + 1901045318656 = 2413392^2 + 1378784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88497814 + ... + 88585066.

It is an arithmetic number, because the mean of its divisors is an integer number (73501329909).

Almost surely, 2^{7725506264320} 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 7725506264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584191506896).

7725506264320 is an abundant number, since it is smaller than the sum of its proper divisors (13442876749472).

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

7725506264320 is a wasteful number, since it uses less digits than its factorization.

7725506264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87617 (or 87603 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 49.

The spelling of 7725506264320 in words is "seven trillion, seven hundred twenty-five billion, five hundred six million, two hundred sixty-four thousand, three hundred twenty".