9408645227520 has 2464 divisors, whose sum is σ = 44435261998080. Its totient is φ = 1851071201280.

The previous prime is 9408645227473. The next prime is 9408645227533. The reversal of 9408645227520 is 257225468049.

9408645227520 is a `hidden beast` number, since 9 + 4 + 0 + 8 + 64 + 52 + 2 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a super-3 number, since 3×9408645227520³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5460617379 + ... + 5460619101.

Almost surely, 2^{9408645227520} is an apocalyptic number.

9408645227520 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 9408645227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217630999040).

9408645227520 is an abundant number, since it is smaller than the sum of its proper divisors (35026616770560).

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

9408645227520 is a wasteful number, since it uses less digits than its factorization.

9408645227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 9408645227520 in words is "nine trillion, four hundred eight billion, six hundred forty-five million, two hundred twenty-seven thousand, five hundred twenty".