9478570832640 has 1728 divisors, whose sum is σ = 41861078138880. Its totient is φ = 1926264913920.

The previous prime is 9478570832531. The next prime is 9478570832707. The reversal of 9478570832640 is 462380758749.

9478570832640 is a `hidden beast` number, since 9 + 478 + 5 + 70 + 8 + 32 + 64 + 0 = 666.

It is a super-3 number, since 3×9478570832640³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8546952406 + ... + 8546953514.

It is an arithmetic number, because the mean of its divisors is an integer number (24225160960).

Almost surely, 2^{9478570832640} is an apocalyptic number.

9478570832640 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 9478570832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930539069440).

9478570832640 is an abundant number, since it is smaller than the sum of its proper divisors (32382507306240).

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

9478570832640 is a wasteful number, since it uses less digits than its factorization.

9478570832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 9478570832640 in words is "nine trillion, four hundred seventy-eight billion, five hundred seventy million, eight hundred thirty-two thousand, six hundred forty".