8729671860 has 384 divisors, whose sum is σ = 34004275200. Its totient is φ = 1810045440.

The previous prime is 8729671807. The next prime is 8729671871. The reversal of 8729671860 is 681769278.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8729671797 and 8729671806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2897755 + ... + 2900765.

It is an arithmetic number, because the mean of its divisors is an integer number (88552800).

Almost surely, 2^8729671860 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 8729671860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17002137600).

8729671860 is an abundant number, since it is smaller than the sum of its proper divisors (25274603340).

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

8729671860 is a wasteful number, since it uses less digits than its factorization.

8729671860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8729671860 is about 93432.7130078111. The cubic root of 8729671860 is about 2059.0456398738.

The spelling of 8729671860 in words is "eight billion, seven hundred twenty-nine million, six hundred seventy-one thousand, eight hundred sixty".