9764779472448 has 1344 divisors, whose sum is σ = 36303617064960. Its totient is φ = 2246903193600.

The previous prime is 9764779472443. The next prime is 9764779472477. The reversal of 9764779472448 is 8442749774679.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×9764779472448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (9764779472443) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10766018811 + ... + 10766019717.

It is an arithmetic number, because the mean of its divisors is an integer number (27011619840).

Almost surely, 2^{9764779472448} 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 9764779472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18151808532480).

9764779472448 is an abundant number, since it is smaller than the sum of its proper divisors (26538837592512).

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

9764779472448 is a wasteful number, since it uses less digits than its factorization.

9764779472448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1113 counting only the distinct ones).

The product of its digits is 4779565056, while the sum is 78.

The spelling of 9764779472448 in words is "nine trillion, seven hundred sixty-four billion, seven hundred seventy-nine million, four hundred seventy-two thousand, four hundred forty-eight".