9248912640 has 288 divisors, whose sum is σ = 35805974400. Its totient is φ = 2242068480.

The previous prime is 9248912639. The next prime is 9248912653. The reversal of 9248912640 is 462198429.

9248912640 is a `hidden beast` number, since 9 + 2 + 489 + 126 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367996 + ... + 392324.

It is an arithmetic number, because the mean of its divisors is an integer number (124326300).

Almost surely, 2^9248912640 is an apocalyptic number.

9248912640 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 9248912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902987200).

9248912640 is an abundant number, since it is smaller than the sum of its proper divisors (26557061760).

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

9248912640 is a wasteful number, since it uses less digits than its factorization.

9248912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24370 (or 24350 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9248912640 is about 96171.2672267554. The cubic root of 9248912640 is about 2099.0859695706.

The spelling of 9248912640 in words is "nine billion, two hundred forty-eight million, nine hundred twelve thousand, six hundred forty".