8643284160 has 224 divisors, whose sum is σ = 33208081920. Its totient is φ = 1859371008.

The previous prime is 8643284137. The next prime is 8643284173. The reversal of 8643284160 is 614823468.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8643284160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76411 + ... + 152069.

Almost surely, 2^8643284160 is an apocalyptic number.

8643284160 is a gapful number since it is divisible by the number (80) 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 8643284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604040960).

8643284160 is an abundant number, since it is smaller than the sum of its proper divisors (24564797760).

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

8643284160 is a wasteful number, since it uses less digits than its factorization.

8643284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75703 (or 75693 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 8643284160 is about 92969.2645985758. The cubic root of 8643284160 is about 2052.2310954198.

The spelling of 8643284160 in words is "eight billion, six hundred forty-three million, two hundred eighty-four thousand, one hundred sixty".