9065257747920 has 1920 divisors, whose sum is σ = 37830815672832. Its totient is φ = 2008850595840.

The previous prime is 9065257747913. The next prime is 9065257747927. The reversal of 9065257747920 is 297477525609.

9065257747920 is a `hidden beast` number, since 9 + 0 + 6 + 52 + 577 + 4 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9065257747913) and next prime (9065257747927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9065257747927) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16275148282 + ... + 16275148838.

Almost surely, 2^{9065257747920} is an apocalyptic number.

9065257747920 is a gapful number since it is divisible by the number (90) 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 9065257747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915407836416).

9065257747920 is an abundant number, since it is smaller than the sum of its proper divisors (28765557924912).

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

9065257747920 is a wasteful number, since it uses less digits than its factorization.

9065257747920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 9065257747920 in words is "nine trillion, sixty-five billion, two hundred fifty-seven million, seven hundred forty-seven thousand, nine hundred twenty".