7257313244160 has 1056 divisors, whose sum is σ = 29468263518720. Its totient is φ = 1617240784896.

The previous prime is 7257313244131. The next prime is 7257313244161. The reversal of 7257313244160 is 614423137527.

It is a happy number.

7257313244160 is a `hidden beast` number, since 7 + 2 + 5 + 73 + 132 + 441 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7257313244161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2095670589 + ... + 2095674051.

Almost surely, 2^{7257313244160} is an apocalyptic number.

7257313244160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7257313244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734131759360).

7257313244160 is an abundant number, since it is smaller than the sum of its proper divisors (22210950274560).

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

7257313244160 is a wasteful number, since it uses less digits than its factorization.

7257313244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 7257313244160 in words is "seven trillion, two hundred fifty-seven billion, three hundred thirteen million, two hundred forty-four thousand, one hundred sixty".