9729256728576 has 1536 divisors, whose sum is σ = 36071433216000. Its totient is φ = 2253347880960.

The previous prime is 9729256728557. The next prime is 9729256728601. The reversal of 9729256728576 is 6758276529279.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 9729256728498 and 9729256728507.

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, 27561633616 + ... + 27561633968.

It is an arithmetic number, because the mean of its divisors is an integer number (23484006000).

Almost surely, 2^{9729256728576} is an apocalyptic number.

9729256728576 is a gapful number since it is divisible by the number (96) 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 9729256728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035716608000).

9729256728576 is an abundant number, since it is smaller than the sum of its proper divisors (26342176487424).

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

9729256728576 is a wasteful number, since it uses less digits than its factorization.

9729256728576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 565 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 75.

The spelling of 9729256728576 in words is "nine trillion, seven hundred twenty-nine billion, two hundred fifty-six million, seven hundred twenty-eight thousand, five hundred seventy-six".