7257644160 has 192 divisors, whose sum is σ = 25051265280. Its totient is φ = 1786417152.

The previous prime is 7257644137. The next prime is 7257644179. The reversal of 7257644160 is 614467527.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313297 + ... + 335663.

It is an arithmetic number, because the mean of its divisors is an integer number (130475340).

Almost surely, 2^7257644160 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 7257644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525632640).

7257644160 is an abundant number, since it is smaller than the sum of its proper divisors (17793621120).

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

7257644160 is a wasteful number, since it uses less digits than its factorization.

7257644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22415 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 7257644160 is about 85191.8080568783. The cubic root of 7257644160 is about 1936.1183020849.

The spelling of 7257644160 in words is "seven billion, two hundred fifty-seven million, six hundred forty-four thousand, one hundred sixty".