7132257792 has 640 divisors, whose sum is σ = 25455513600. Its totient is φ = 1946419200.

The previous prime is 7132257739. The next prime is 7132257793. The reversal of 7132257792 is 2977522317.

7132257792 is a `hidden beast` number, since 71 + 3 + 2 + 2 + 577 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132257793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80137684 + ... + 80137772.

It is an arithmetic number, because the mean of its divisors is an integer number (39774240).

Almost surely, 2^7132257792 is an apocalyptic number.

7132257792 is a gapful number since it is divisible by the number (72) 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 7132257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727756800).

7132257792 is an abundant number, since it is smaller than the sum of its proper divisors (18323255808).

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

7132257792 is a wasteful number, since it uses less digits than its factorization.

7132257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

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

The square root of 7132257792 is about 84452.6955875299. The cubic root of 7132257792 is about 1924.9037151594.

The spelling of 7132257792 in words is "seven billion, one hundred thirty-two million, two hundred fifty-seven thousand, seven hundred ninety-two".