7725074688 has 216 divisors, whose sum is σ = 22807544760. Its totient is φ = 2514124800.

The previous prime is 7725074683. The next prime is 7725074713. The reversal of 7725074688 is 8864705277.

It is a happy number.

7725074688 is a `hidden beast` number, since 7 + 72 + 507 + 4 + 68 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2053177344 + 5671897344 = 45312^2 + 75312^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7725074681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20710470 + ... + 20710842.

It is an arithmetic number, because the mean of its divisors is an integer number (105590485).

Almost surely, 2^7725074688 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 7725074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403772380).

7725074688 is an abundant number, since it is smaller than the sum of its proper divisors (15082470072).

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

7725074688 is a wasteful number, since it uses less digits than its factorization.

7725074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 7725074688 is about 87892.4040403948. The cubic root of 7725074688 is about 1976.8219847804.

The spelling of 7725074688 in words is "seven billion, seven hundred twenty-five million, seventy-four thousand, six hundred eighty-eight".