9729613289088 has 1536 divisors, whose sum is σ = 39181708800000. Its totient is φ = 2342822952960.

The previous prime is 9729613289087. The next prime is 9729613289101. The reversal of 9729613289088 is 8809823169279.

9729613289088 is a `hidden beast` number, since 9 + 7 + 296 + 1 + 328 + 9 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9729613289087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1663463188 + ... + 1663469036.

It is an arithmetic number, because the mean of its divisors is an integer number (25508925000).

Almost surely, 2^{9729613289088} is an apocalyptic number.

9729613289088 is a gapful number since it is divisible by the number (98) 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 9729613289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19590854400000).

9729613289088 is an abundant number, since it is smaller than the sum of its proper divisors (29452095510912).

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

9729613289088 is a wasteful number, since it uses less digits than its factorization.

9729613289088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 9729613289088 in words is "nine trillion, seven hundred twenty-nine billion, six hundred thirteen million, two hundred eighty-nine thousand, eighty-eight".