6338627616 has 48 divisors (see below), whose sum is σ = 17617660704. Its totient is φ = 1988588544.

The previous prime is 6338627611. The next prime is 6338627627. The reversal of 6338627616 is 6167268336.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6338627611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1940350 + ... + 1943613.

It is an arithmetic number, because the mean of its divisors is an integer number (367034598).

Almost surely, 2^6338627616 is an apocalyptic number.

It is an amenable number.

6338627616 is an abundant number, since it is smaller than the sum of its proper divisors (11279033088).

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

6338627616 is a wasteful number, since it uses less digits than its factorization.

6338627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883993 (or 3883985 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 6338627616 is about 79615.4985916687. The cubic root of 6338627616 is about 1850.6817663514.

The spelling of 6338627616 in words is "six billion, three hundred thirty-eight million, six hundred twenty-seven thousand, six hundred sixteen".