9778304640 has 256 divisors, whose sum is σ = 35027354880. Its totient is φ = 2302181376.

The previous prime is 9778304623. The next prime is 9778304659. The reversal of 9778304640 is 464038779.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9778304640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 565564 + ... + 582596.

It is an arithmetic number, because the mean of its divisors is an integer number (136825605).

Almost surely, 2^9778304640 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 9778304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513677440).

9778304640 is an abundant number, since it is smaller than the sum of its proper divisors (25249050240).

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

9778304640 is a wasteful number, since it uses less digits than its factorization.

9778304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 9778304640 is about 98885.3105370054. The cubic root of 9778304640 is about 2138.3946267771.

The spelling of 9778304640 in words is "nine billion, seven hundred seventy-eight million, three hundred four thousand, six hundred forty".