6338601856 has 64 divisors (see below), whose sum is σ = 13309102800. Its totient is φ = 2998702080.

The previous prime is 6338601853. The next prime is 6338601859. The reversal of 6338601856 is 6581068336.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6338601853) and next prime (6338601859).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338601853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3211686 + ... + 3213658.

Almost surely, 2^6338601856 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 6338601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654551400).

6338601856 is an abundant number, since it is smaller than the sum of its proper divisors (6970500944).

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

6338601856 is a wasteful number, since it uses less digits than its factorization.

6338601856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 6338601856 is about 79615.3368139582. The cubic root of 6338601856 is about 1850.6792593089.

It can be divided in two parts, 633 and 8601856, that added together give a square (8602489 = 2933²).

The spelling of 6338601856 in words is "six billion, three hundred thirty-eight million, six hundred one thousand, eight hundred fifty-six".