9829272602496 has 128 divisors (see below), whose sum is σ = 26661701370240. Its totient is φ = 3207345489920.

The previous prime is 9829272602489. The next prime is 9829272602531. The reversal of 9829272602496 is 6942062729289.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9829272602496² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8470831 + ... + 9561041.

It is an arithmetic number, because the mean of its divisors is an integer number (208294541955).

Almost surely, 2^{9829272602496} is an apocalyptic number.

9829272602496 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 9829272602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330850685120).

9829272602496 is an abundant number, since it is smaller than the sum of its proper divisors (16832428767744).

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

9829272602496 is a wasteful number, since it uses less digits than its factorization.

9829272602496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090724 (or 1090712 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 9829272602496 in words is "nine trillion, eight hundred twenty-nine billion, two hundred seventy-two million, six hundred two thousand, four hundred ninety-six".