8679972960 has 240 divisors, whose sum is σ = 30909374496. Its totient is φ = 2293788672.

The previous prime is 8679972953. The next prime is 8679972971. The reversal of 8679972960 is 692799768.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1461517 + ... + 1467443.

Almost surely, 2^8679972960 is an apocalyptic number.

8679972960 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 8679972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454687248).

8679972960 is an abundant number, since it is smaller than the sum of its proper divisors (22229401536).

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

8679972960 is a wasteful number, since it uses less digits than its factorization.

8679972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 8679972960 is about 93166.3724741926. The cubic root of 8679972960 is about 2055.1307498459.

The spelling of 8679972960 in words is "eight billion, six hundred seventy-nine million, nine hundred seventy-two thousand, nine hundred sixty".