9738989568 has 624 divisors, whose sum is σ = 36309851136. Its totient is φ = 2441871360.

The previous prime is 9738989549. The next prime is 9738989573. The reversal of 9738989568 is 8659898379.

It is a super-2 number, since 2×9738989568² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (235146240) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 9738989496 and 9738989505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133410780 + ... + 133410852.

It is an arithmetic number, because the mean of its divisors is an integer number (58188864).

Almost surely, 2^9738989568 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 9738989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154925568).

9738989568 is an abundant number, since it is smaller than the sum of its proper divisors (26570861568).

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

9738989568 is a wasteful number, since it uses less digits than its factorization.

9738989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The square root of 9738989568 is about 98686.3190518321. The cubic root of 9738989568 is about 2135.5248701231.

The spelling of 9738989568 in words is "nine billion, seven hundred thirty-eight million, nine hundred eighty-nine thousand, five hundred sixty-eight".