7265133648 has 150 divisors (see below), whose sum is σ = 21983463194. Its totient is φ = 2316200832.

The previous prime is 7265133571. The next prime is 7265133653. The reversal of 7265133648 is 8463315627.

7265133648 is a `hidden beast` number, since 72 + 6 + 513 + 3 + 64 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4278729744 + 2986403904 = 65412^2 + 54648^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 680286 + ... + 690882.

Almost surely, 2^7265133648 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 7265133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10991731597).

7265133648 is an abundant number, since it is smaller than the sum of its proper divisors (14718329546).

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

7265133648 is a wasteful number, since it uses less digits than its factorization.

7265133648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10625 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7265133648 is about 85235.7533433007. The cubic root of 7265133648 is about 1936.7840621860.

The spelling of 7265133648 in words is "seven billion, two hundred sixty-five million, one hundred thirty-three thousand, six hundred forty-eight".