8729868840 has 256 divisors, whose sum is σ = 33778944000. Its totient is φ = 1751393280.

The previous prime is 8729868817. The next prime is 8729868859. The reversal of 8729868840 is 488689278.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 251671 + ... + 284249.

It is an arithmetic number, because the mean of its divisors is an integer number (131949000).

Almost surely, 2^8729868840 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 8729868840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889472000).

8729868840 is an abundant number, since it is smaller than the sum of its proper divisors (25049075160).

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

8729868840 is a wasteful number, since it uses less digits than its factorization.

8729868840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32640 (or 32636 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The square root of 8729868840 is about 93433.7671294484. The cubic root of 8729868840 is about 2059.0611268156.

The spelling of 8729868840 in words is "eight billion, seven hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred forty".