8661729000000 has 392 divisors, whose sum is σ = 28713221216064. Its totient is φ = 2304416000000.

The previous prime is 8661728999933. The next prime is 8661729000049. The reversal of 8661729000000 is 9271668.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1382996869 + ... + 1383003131.

Almost surely, 2^{8661729000000} is an apocalyptic number.

8661729000000 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 8661729000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356610608032).

8661729000000 is an abundant number, since it is smaller than the sum of its proper divisors (20051492216064).

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

8661729000000 is an frugal number, since it uses more digits than its factorization.

8661729000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 8661729000000 in words is "eight trillion, six hundred sixty-one billion, seven hundred twenty-nine million", and thus it is an aban number.