6401366496 has 384 divisors, whose sum is σ = 22019558400. Its totient is φ = 1793829888.

The previous prime is 6401366443. The next prime is 6401366519. The reversal of 6401366496 is 6946631046.

It is a super-2 number, since 2×6401366496² = 81954986032222636032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35761735 + ... + 35761913.

It is an arithmetic number, because the mean of its divisors is an integer number (57342600).

Almost surely, 2^6401366496 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 6401366496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009779200).

6401366496 is an abundant number, since it is smaller than the sum of its proper divisors (15618191904).

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

6401366496 is an equidigital number, since it uses as much as digits as its factorization.

6401366496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6401366496 is about 80008.5401441621. The cubic root of 6401366496 is about 1856.7676638869.

The spelling of 6401366496 in words is "six billion, four hundred one million, three hundred sixty-six thousand, four hundred ninety-six".