6368448636 has 96 divisors (see below), whose sum is σ = 18028335360. Its totient is φ = 1928059200.

The previous prime is 6368448601. The next prime is 6368448701.

6368448636 is nontrivially palindromic in base 10.

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

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 31 ways as a sum of consecutive naturals, for example, 1924095 + ... + 1927401.

It is an arithmetic number, because the mean of its divisors is an integer number (187795160).

Almost surely, 2^6368448636 is an apocalyptic number.

6368448636 is a gapful number since it is divisible by the number (66) 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 6368448636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014167680).

6368448636 is an abundant number, since it is smaller than the sum of its proper divisors (11659886724).

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

6368448636 is a wasteful number, since it uses less digits than its factorization.

6368448636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4944 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 6368448636 is about 79802.5603348664. The cubic root of 6368448636 is about 1853.5794963845.

The spelling of 6368448636 in words is "six billion, three hundred sixty-eight million, four hundred forty-eight thousand, six hundred thirty-six".