8975478919680 has 720 divisors, whose sum is σ = 38468304388800. Its totient is φ = 1893721669632.

The previous prime is 8975478919601. The next prime is 8975478919699. The reversal of 8975478919680 is 869198745798.

8975478919680 is a `hidden beast` number, since 8 + 9 + 7 + 547 + 8 + 9 + 1 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 8975478919680.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27091671 + ... + 27420969.

It is an arithmetic number, because the mean of its divisors is an integer number (53428200540).

Almost surely, 2^{8975478919680} is an apocalyptic number.

8975478919680 is a gapful number since it is divisible by the number (80) 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 8975478919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234152194400).

8975478919680 is an abundant number, since it is smaller than the sum of its proper divisors (29492825469120).

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

8975478919680 is a wasteful number, since it uses less digits than its factorization.

8975478919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329361 (or 329329 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 81.

The spelling of 8975478919680 in words is "eight trillion, nine hundred seventy-five billion, four hundred seventy-eight million, nine hundred nineteen thousand, six hundred eighty".