9507248640 has 960 divisors, whose sum is σ = 38607528960. Its totient is φ = 2229534720.

The previous prime is 9507248603. The next prime is 9507248683. The reversal of 9507248640 is 468427059.

It is a happy number.

9507248640 is a `hidden beast` number, since 9 + 507 + 24 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 306685425 + ... + 306685455.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^9507248640 is an apocalyptic number.

9507248640 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 9507248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480).

9507248640 is an abundant number, since it is smaller than the sum of its proper divisors (29100280320).

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

9507248640 is a wasteful number, since it uses less digits than its factorization.

9507248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9507248640 is about 97505.1210962788. The cubic root of 9507248640 is about 2118.4503211517.

The spelling of 9507248640 in words is "nine billion, five hundred seven million, two hundred forty-eight thousand, six hundred forty".