9793448017920 has 768 divisors, whose sum is σ = 40506512421600. Its totient is φ = 2238452858880.

The previous prime is 9793448017919. The next prime is 9793448017963. The reversal of 9793448017920 is 297108443979.

9793448017920 is a `hidden beast` number, since 9 + 7 + 93 + 448 + 0 + 17 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×9793448017920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216737730 + ... + 216782910.

Almost surely, 2^{9793448017920} is an apocalyptic number.

9793448017920 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 9793448017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253256210800).

9793448017920 is an abundant number, since it is smaller than the sum of its proper divisors (30713064403680).

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

9793448017920 is an equidigital number, since it uses as much as digits as its factorization.

9793448017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45239 (or 45198 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 9793448017920 in words is "nine trillion, seven hundred ninety-three billion, four hundred forty-eight million, seventeen thousand, nine hundred twenty".