8000363520 has 440 divisors, whose sum is σ = 29104213248. Its totient is φ = 2101248000.

The previous prime is 8000363513. The next prime is 8000363521. The reversal of 8000363520 is 253630008.

8000363520 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 3 + 635 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000363521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41886625 + ... + 41886815.

Almost surely, 2^8000363520 is an apocalyptic number.

8000363520 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 8000363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552106624).

8000363520 is an abundant number, since it is smaller than the sum of its proper divisors (21103849728).

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

8000363520 is a wasteful number, since it uses less digits than its factorization.

8000363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 8000363520 is about 89444.7512154850. The cubic root of 8000363520 is about 2000.0302928745.

Adding to 8000363520 its reverse (253630008), we get a palindrome (8253993528).

The spelling of 8000363520 in words is "eight billion, three hundred sixty-three thousand, five hundred twenty".