6364664064 has 216 divisors, whose sum is σ = 20667489024. Its totient is φ = 1866240000.

The previous prime is 6364664041. The next prime is 6364664071. The reversal of 6364664064 is 4604664636.

6364664064 is a `hidden beast` number, since 636 + 4 + 6 + 6 + 4 + 0 + 6 + 4 = 666.

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, 781614 + ... + 789714.

Almost surely, 2^6364664064 is an apocalyptic number.

6364664064 is a gapful number since it is divisible by the number (64) 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 6364664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333744512).

6364664064 is an abundant number, since it is smaller than the sum of its proper divisors (14302824960).

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

6364664064 is a wasteful number, since it uses less digits than its factorization.

6364664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The square root of 6364664064 is about 79778.8447146234. The cubic root of 6364664064 is about 1853.2122486438.

The spelling of 6364664064 in words is "six billion, three hundred sixty-four million, six hundred sixty-four thousand, sixty-four".