9738170007552 has 432 divisors, whose sum is σ = 34043039214912. Its totient is φ = 2618629816320.

The previous prime is 9738170007551. The next prime is 9738170007581. The reversal of 9738170007552 is 2557000718379.

It is a happy number.

9738170007552 is a `hidden beast` number, since 9 + 7 + 3 + 81 + 7 + 0 + 0 + 0 + 7 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (9738170007551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140343427 + ... + 140412797.

It is an arithmetic number, because the mean of its divisors is an integer number (78803331516).

Almost surely, 2^{9738170007552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9738170007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021519607456).

9738170007552 is an abundant number, since it is smaller than the sum of its proper divisors (24304869207360).

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

9738170007552 is an equidigital number, since it uses as much as digits as its factorization.

9738170007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69435 (or 69400 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 9738170007552 in words is "nine trillion, seven hundred thirty-eight billion, one hundred seventy million, seven thousand, five hundred fifty-two".