9672879540 has 192 divisors, whose sum is σ = 28844605440. Its totient is φ = 2416888320.

The previous prime is 9672879539. The next prime is 9672879599. The reversal of 9672879540 is 459782769.

It is a super-2 number, since 2×9672879540² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26356437 + ... + 26356803.

It is an arithmetic number, because the mean of its divisors is an integer number (150232320).

Almost surely, 2^9672879540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9672879540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422302720).

9672879540 is an abundant number, since it is smaller than the sum of its proper divisors (19171725900).

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

9672879540 is a wasteful number, since it uses less digits than its factorization.

9672879540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 9672879540 is about 98350.7983699167. The cubic root of 9672879540 is about 2130.6817848763.

The spelling of 9672879540 in words is "nine billion, six hundred seventy-two million, eight hundred seventy-nine thousand, five hundred forty".