9776288480 has 192 divisors, whose sum is σ = 27027665280. Its totient is φ = 3272638464.

The previous prime is 9776288477. The next prime is 9776288491. The reversal of 9776288480 is 848826779.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8911292 + ... + 8912388.

It is an arithmetic number, because the mean of its divisors is an integer number (140769090).

Almost surely, 2^9776288480 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 9776288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513832640).

9776288480 is an abundant number, since it is smaller than the sum of its proper divisors (17251376800).

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

9776288480 is a wasteful number, since it uses less digits than its factorization.

9776288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The square root of 9776288480 is about 98875.1155751537. The cubic root of 9776288480 is about 2138.2476468994.

The spelling of 9776288480 in words is "nine billion, seven hundred seventy-six million, two hundred eighty-eight thousand, four hundred eighty".