6381608064 has 128 divisors (see below), whose sum is σ = 18308673600. Its totient is φ = 1957810176.

The previous prime is 6381608063. The next prime is 6381608119. The reversal of 6381608064 is 4608061836.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6381608063) 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 15 ways as a sum of consecutive naturals, for example, 1890282 + ... + 1893654.

Almost surely, 2^6381608064 is an apocalyptic number.

6381608064 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 6381608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154336800).

6381608064 is an abundant number, since it is smaller than the sum of its proper divisors (11927065536).

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

6381608064 is a wasteful number, since it uses less digits than its factorization.

6381608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6381608064 is about 79884.9676973084. The cubic root of 6381608064 is about 1854.8553311424.

The spelling of 6381608064 in words is "six billion, three hundred eighty-one million, six hundred eight thousand, sixty-four".