9252895680 has 672 divisors, whose sum is σ = 38343352320. Its totient is φ = 2080235520.

The previous prime is 9252895667. The next prime is 9252895723. The reversal of 9252895680 is 865982529.

9252895680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48444385 + ... + 48444575.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^9252895680 is an apocalyptic number.

9252895680 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 9252895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

9252895680 is an abundant number, since it is smaller than the sum of its proper divisors (29090456640).

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

9252895680 is a wasteful number, since it uses less digits than its factorization.

9252895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9252895680 is about 96191.9730538884. The cubic root of 9252895680 is about 2099.3872497970.

The spelling of 9252895680 in words is "nine billion, two hundred fifty-two million, eight hundred ninety-five thousand, six hundred eighty".