7225936128 has 360 divisors, whose sum is σ = 22852737600. Its totient is φ = 2266361856.

The previous prime is 7225936121. The next prime is 7225936129. The reversal of 7225936128 is 8216395227.

7225936128 is a `hidden beast` number, since 7 + 2 + 25 + 9 + 3 + 612 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7225936121) 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 39 ways as a sum of consecutive naturals, for example, 51985083 + ... + 51985221.

Almost surely, 2^7225936128 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 7225936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426368800).

7225936128 is an abundant number, since it is smaller than the sum of its proper divisors (15626801472).

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

7225936128 is a wasteful number, since it uses less digits than its factorization.

7225936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 7225936128 is about 85005.5064569349. The cubic root of 7225936128 is about 1933.2946070192.

The spelling of 7225936128 in words is "seven billion, two hundred twenty-five million, nine hundred thirty-six thousand, one hundred twenty-eight".