9257748480 has 576 divisors, whose sum is σ = 35876131200. Its totient is φ = 2194145280.

The previous prime is 9257748449. The next prime is 9257748527. The reversal of 9257748480 is 848477529.

It is a happy number.

9257748480 is a `hidden beast` number, since 92 + 5 + 7 + 74 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29767525 + ... + 29767835.

It is an arithmetic number, because the mean of its divisors is an integer number (62284950).

Almost surely, 2^9257748480 is an apocalyptic number.

9257748480 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 9257748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938065600).

9257748480 is an abundant number, since it is smaller than the sum of its proper divisors (26618382720).

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

9257748480 is a wasteful number, since it uses less digits than its factorization.

9257748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 9257748480 is about 96217.1943053839. The cubic root of 9257748480 is about 2099.7542025239.

The spelling of 9257748480 in words is "nine billion, two hundred fifty-seven million, seven hundred forty-eight thousand, four hundred eighty".