9769719168 has 384 divisors, whose sum is σ = 32070954240. Its totient is φ = 2828390400.

The previous prime is 9769719139. The next prime is 9769719173. The reversal of 9769719168 is 8619179679.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9769719168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 31413733 + ... + 31414043.

It is an arithmetic number, because the mean of its divisors is an integer number (83518110).

Almost surely, 2^9769719168 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 9769719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035477120).

9769719168 is an abundant number, since it is smaller than the sum of its proper divisors (22301235072).

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

9769719168 is a wasteful number, since it uses less digits than its factorization.

9769719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 63.

The square root of 9769719168 is about 98841.8897431651. The cubic root of 9769719168 is about 2137.7685979076.

The spelling of 9769719168 in words is "nine billion, seven hundred sixty-nine million, seven hundred nineteen thousand, one hundred sixty-eight".