6368393664 has 280 divisors, whose sum is σ = 20181173760. Its totient is φ = 1978712064.

The previous prime is 6368393659. The next prime is 6368393677. The reversal of 6368393664 is 4663938636.

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 self number, because there is not a number n which added to its sum of digits gives 6368393664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11191972 + ... + 11192540.

Almost surely, 2^6368393664 is an apocalyptic number.

6368393664 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 6368393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090586880).

6368393664 is an abundant number, since it is smaller than the sum of its proper divisors (13812780096).

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

6368393664 is a wasteful number, since it uses less digits than its factorization.

6368393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The square root of 6368393664 is about 79802.2159090836. The cubic root of 6368393664 is about 1853.5741630466.

The spelling of 6368393664 in words is "six billion, three hundred sixty-eight million, three hundred ninety-three thousand, six hundred sixty-four".