9735027793920 has 3360 divisors, whose sum is σ = 44168251349376. Its totient is φ = 2021444812800.

The previous prime is 9735027793837. The next prime is 9735027793921. The reversal of 9735027793920 is 293977205379.

9735027793920 is a `hidden beast` number, since 9 + 7 + 3 + 502 + 7 + 79 + 39 + 20 = 666.

It is a super-2 number, since 2×9735027793920² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9735027793921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 137113067485 + ... + 137113067555.

Almost surely, 2^{9735027793920} is an apocalyptic number.

9735027793920 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 9735027793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084125674688).

9735027793920 is an abundant number, since it is smaller than the sum of its proper divisors (34433223555456).

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

9735027793920 is a wasteful number, since it uses less digits than its factorization.

9735027793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 63.

The spelling of 9735027793920 in words is "nine trillion, seven hundred thirty-five billion, twenty-seven million, seven hundred ninety-three thousand, nine hundred twenty".