6364512000 has 1296 divisors, whose sum is σ = 29771056224. Its totient is φ = 1290240000.

The previous prime is 6364511981. The next prime is 6364512013. The reversal of 6364512000 is 2154636.

6364512000 is a `hidden beast` number, since 6 + 3 + 6 + 451 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155231980 + ... + 155232020.

It is an arithmetic number, because the mean of its divisors is an integer number (22971494).

Almost surely, 2^6364512000 is an apocalyptic number.

6364512000 is a gapful number since it is divisible by the number (60) 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 6364512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885528112).

6364512000 is an abundant number, since it is smaller than the sum of its proper divisors (23406544224).

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

6364512000 is a wasteful number, since it uses less digits than its factorization.

6364512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

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

The square root of 6364512000 is about 79777.8916743229. The cubic root of 6364512000 is about 1853.1974895976.

Adding to 6364512000 its reverse (2154636), we get a palindrome (6366666636).

The spelling of 6364512000 in words is "six billion, three hundred sixty-four million, five hundred twelve thousand".