8947646064 has 480 divisors, whose sum is σ = 31049441280. Its totient is φ = 2351462400.

The previous prime is 8947646063. The next prime is 8947646077. The reversal of 8947646064 is 4606467498.

8947646064 is a `hidden beast` number, since 89 + 47 + 6 + 460 + 64 = 666.

It is a super-2 number, since 2×8947646064² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8947646064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8947646063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82088442 + ... + 82088550.

It is an arithmetic number, because the mean of its divisors is an integer number (64686336).

Almost surely, 2^8947646064 is an apocalyptic number.

8947646064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8947646064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524720640).

8947646064 is an abundant number, since it is smaller than the sum of its proper divisors (22101795216).

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

8947646064 is a wasteful number, since it uses less digits than its factorization.

8947646064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 8947646064 is about 94591.9978856563. The cubic root of 8947646064 is about 2076.0426222218.

The spelling of 8947646064 in words is "eight billion, nine hundred forty-seven million, six hundred forty-six thousand, sixty-four".