9729296640 has 576 divisors, whose sum is σ = 39888414720. Its totient is φ = 2199674880.

The previous prime is 9729296611. The next prime is 9729296653. The reversal of 9729296640 is 466929279.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31691367 + ... + 31691673.

It is an arithmetic number, because the mean of its divisors is an integer number (69250720).

Almost surely, 2^9729296640 is an apocalyptic number.

9729296640 is a gapful number since it is divisible by the number (90) 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 9729296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944207360).

9729296640 is an abundant number, since it is smaller than the sum of its proper divisors (30159118080).

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

9729296640 is a wasteful number, since it uses less digits than its factorization.

9729296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9729296640 is about 98637.1970404674. The cubic root of 9729296640 is about 2134.8161600576.

The spelling of 9729296640 in words is "nine billion, seven hundred twenty-nine million, two hundred ninety-six thousand, six hundred forty".