9876800579472 has 30 divisors (see below), whose sum is σ = 27641323844342. Its totient is φ = 3292266859776.

The previous prime is 9876800579419. The next prime is 9876800579587. The reversal of 9876800579472 is 2749750086789.

9876800579472 is a `hidden beast` number, since 9 + 8 + 7 + 6 + 8 + 0 + 0 + 579 + 47 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5055860178576 + 4820940400896 = 2248524^2 + 2195664^2 .

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9876800579472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34294446313 + ... + 34294446600.

Almost surely, 2^{9876800579472} is an apocalyptic number.

It is an amenable number.

9876800579472 is an abundant number, since it is smaller than the sum of its proper divisors (17764523264870).

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

9876800579472 is a wasteful number, since it uses less digits than its factorization.

9876800579472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68588892927 (or 68588892918 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 9876800579472 in words is "nine trillion, eight hundred seventy-six billion, eight hundred million, five hundred seventy-nine thousand, four hundred seventy-two".