9792341185536 has 924 divisors, whose sum is σ = 36768981862452. Its totient is φ = 2582470066176.

The previous prime is 9792341185513. The next prime is 9792341185573. The reversal of 9792341185536 is 6355811432979.

9792341185536 is a `hidden beast` number, since 9 + 7 + 9 + 2 + 3 + 4 + 11 + 85 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5999756313600 + 3792584871936 = 2449440^2 + 1947456^2 .

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 83 ways as a sum of consecutive naturals, for example, 475507656 + ... + 475528248.

Almost surely, 2^{9792341185536} is an apocalyptic number.

9792341185536 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 9792341185536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384490931226).

9792341185536 is an abundant number, since it is smaller than the sum of its proper divisors (26976640676916).

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

9792341185536 is a wasteful number, since it uses less digits than its factorization.

9792341185536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20658 (or 20618 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 9792341185536 in words is "nine trillion, seven hundred ninety-two billion, three hundred forty-one million, one hundred eighty-five thousand, five hundred thirty-six".