6401801568 has 192 divisors, whose sum is σ = 18209415168. Its totient is φ = 1964943360.

The previous prime is 6401801561. The next prime is 6401801573. The reversal of 6401801568 is 8651081046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401801561) by changing a digit.

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, 5174646 + ... + 5175882.

It is an arithmetic number, because the mean of its divisors is an integer number (94840704).

Almost surely, 2^6401801568 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 6401801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104707584).

6401801568 is an abundant number, since it is smaller than the sum of its proper divisors (11807613600).

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

6401801568 is a wasteful number, since it uses less digits than its factorization.

6401801568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 6401801568 is about 80011.2590077172. The cubic root of 6401801568 is about 1856.8097283076.

The spelling of 6401801568 in words is "six billion, four hundred one million, eight hundred one thousand, five hundred sixty-eight".