8505364320 has 144 divisors (see below), whose sum is σ = 29422516032. Its totient is φ = 2236999680.

The previous prime is 8505364313. The next prime is 8505364331. The reversal of 8505364320 is 234635058.

It is a happy number.

8505364320 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 3 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64665 + ... + 145575.

It is an arithmetic number, because the mean of its divisors is an integer number (204323028).

Almost surely, 2^8505364320 is an apocalyptic number.

8505364320 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 8505364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711258016).

8505364320 is an abundant number, since it is smaller than the sum of its proper divisors (20917151712).

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

8505364320 is a wasteful number, since it uses less digits than its factorization.

8505364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81005 (or 80994 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 8505364320 is about 92224.5320942318. The cubic root of 8505364320 is about 2041.2567803644.

Adding to 8505364320 its reverse (234635058), we get a palindrome (8739999378).

The spelling of 8505364320 in words is "eight billion, five hundred five million, three hundred sixty-four thousand, three hundred twenty".