8563864320 has 432 divisors, whose sum is σ = 33534289152. Its totient is φ = 2075258880.

The previous prime is 8563864289. The next prime is 8563864327. The reversal of 8563864320 is 234683658.

It is a happy number.

8563864320 is a `hidden beast` number, since 8 + 5 + 638 + 6 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-5 number, since 5×8563864320⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8563864327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3420189 + ... + 3422691.

Almost surely, 2^8563864320 is an apocalyptic number.

8563864320 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 8563864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767144576).

8563864320 is an abundant number, since it is smaller than the sum of its proper divisors (24970424832).

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

8563864320 is a wasteful number, since it uses less digits than its factorization.

8563864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8563864320 is about 92541.1493336883. The cubic root of 8563864320 is about 2045.9260213531.

The spelling of 8563864320 in words is "eight billion, five hundred sixty-three million, eight hundred sixty-four thousand, three hundred twenty".