8729160000 has 560 divisors, whose sum is σ = 33422051520. Its totient is φ = 1986560000.

The previous prime is 8729159977. The next prime is 8729160007. The reversal of 8729160000 is 619278.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8729160007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22439806 + ... + 22440194.

Almost surely, 2^8729160000 is an apocalyptic number.

8729160000 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 8729160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16711025760).

8729160000 is an abundant number, since it is smaller than the sum of its proper divisors (24692891520).

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

8729160000 is a wasteful number, since it uses less digits than its factorization.

8729160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 8729160000 is about 93429.9737771557. The cubic root of 8729160000 is about 2059.0053953790.

Adding to 8729160000 its reverse (619278), we get a palindrome (8729779278).

The spelling of 8729160000 in words is "eight billion, seven hundred twenty-nine million, one hundred sixty thousand".