8729472066624 has 189 divisors, whose sum is σ = 25165981789221. Its totient is φ = 2893112985600.

The previous prime is 8729472066607. The next prime is 8729472066629. The reversal of 8729472066624 is 4266602749278.

The square root of 8729472066624 is 2954568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8642612188224 + 86859878400 = 2939832^2 + 294720^2 .

It is not an unprimeable number, because it can be changed into a prime (8729472066629) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21769256824 + ... + 21769257224.

Almost surely, 2^{8729472066624} is an apocalyptic number.

8729472066624 is the 2954568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8729472066624

8729472066624 is an abundant number, since it is smaller than the sum of its proper divisors (16436509722597).

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

8729472066624 is an frugal number, since it uses more digits than its factorization.

8729472066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 8729472066624 in words is "eight trillion, seven hundred twenty-nine billion, four hundred seventy-two million, sixty-six thousand, six hundred twenty-four".