9879672576 has 72 divisors (see below), whose sum is σ = 26389830544. Its totient is φ = 3281264640.

The previous prime is 9879672541. The next prime is 9879672577. The reversal of 9879672576 is 6752769789.

9879672576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9879672577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189516 + ... + 235956.

Almost surely, 2^9879672576 is an apocalyptic number.

9879672576 is a gapful number since it is divisible by the number (96) 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 9879672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194915272).

9879672576 is an abundant number, since it is smaller than the sum of its proper divisors (16510157968).

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

9879672576 is a wasteful number, since it uses less digits than its factorization.

9879672576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46737 (or 46723 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 66.

The square root of 9879672576 is about 99396.5420726496. The cubic root of 9879672576 is about 2145.7585445946.

The spelling of 9879672576 in words is "nine billion, eight hundred seventy-nine million, six hundred seventy-two thousand, five hundred seventy-six".