6364882368 has 448 divisors, whose sum is σ = 21411102720. Its totient is φ = 1839366144.

The previous prime is 6364882367. The next prime is 6364882369. The reversal of 6364882368 is 8632884636.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6364882367) and next prime (6364882369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364882367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50117121 + ... + 50117247.

It is an arithmetic number, because the mean of its divisors is an integer number (47792640).

Almost surely, 2^6364882368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6364882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705551360).

6364882368 is an abundant number, since it is smaller than the sum of its proper divisors (15046220352).

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

6364882368 is a wasteful number, since it uses less digits than its factorization.

6364882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 6364882368 is about 79780.2128851509. The cubic root of 6364882368 is about 1853.2334364089.

The spelling of 6364882368 in words is "six billion, three hundred sixty-four million, eight hundred eighty-two thousand, three hundred sixty-eight".