9729655204608 has 648 divisors, whose sum is σ = 30374627512320. Its totient is φ = 2986252738560.

The previous prime is 9729655204571. The next prime is 9729655204613. The reversal of 9729655204608 is 8064025569279.

9729655204608 is a `hidden beast` number, since 9 + 7 + 2 + 9 + 65 + 520 + 46 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61972326066 + ... + 61972326222.

Almost surely, 2^{9729655204608} 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 9729655204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187313756160).

9729655204608 is an abundant number, since it is smaller than the sum of its proper divisors (20644972307712).

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

9729655204608 is a wasteful number, since it uses less digits than its factorization.

9729655204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 9729655204608 in words is "nine trillion, seven hundred twenty-nine billion, six hundred fifty-five million, two hundred four thousand, six hundred eight".