9805774464 has 160 divisors (see below), whose sum is σ = 29457885600. Its totient is φ = 3237677568.

The previous prime is 9805774367. The next prime is 9805774469. The reversal of 9805774464 is 4644775089.

9805774464 is a `hidden beast` number, since 9 + 8 + 0 + 577 + 4 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9805774464.

It is not an unprimeable number, because it can be changed into a prime (9805774469) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1104957 + ... + 1113795.

It is an arithmetic number, because the mean of its divisors is an integer number (184111785).

Almost surely, 2^9805774464 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 9805774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728942800).

9805774464 is an abundant number, since it is smaller than the sum of its proper divisors (19652111136).

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

9805774464 is a wasteful number, since it uses less digits than its factorization.

9805774464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 9805774464 is about 99024.1105186005. The cubic root of 9805774464 is about 2140.3951918133.

The spelling of 9805774464 in words is "nine billion, eight hundred five million, seven hundred seventy-four thousand, four hundred sixty-four".