7253771616 has 768 divisors, whose sum is σ = 28327864320. Its totient is φ = 1773674496.

The previous prime is 7253771443. The next prime is 7253771617. The reversal of 7253771616 is 6161773527.

7253771616 is a `hidden beast` number, since 7 + 25 + 3 + 7 + 7 + 1 + 616 = 666.

Its product of digits (370440) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253771617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108265215 + ... + 108265281.

It is an arithmetic number, because the mean of its divisors is an integer number (36885240).

Almost surely, 2^7253771616 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 7253771616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163932160).

7253771616 is an abundant number, since it is smaller than the sum of its proper divisors (21074092704).

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

7253771616 is a wasteful number, since it uses less digits than its factorization.

7253771616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 7253771616 is about 85169.0766417014. The cubic root of 7253771616 is about 1935.7738819080.

The spelling of 7253771616 in words is "seven billion, two hundred fifty-three million, seven hundred seventy-one thousand, six hundred sixteen".