6466420000000 has 288 divisors, whose sum is σ = 16692291252000. Its totient is φ = 2497152000000.

The previous prime is 6466419999983. The next prime is 6466420000013. The reversal of 6466420000000 is 246646.

It can be written as a sum of positive squares in 16 ways, for example, as 2019854918656 + 4446565081344 = 1421216^2 + 2108688^2 .

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 31 ways as a sum of consecutive naturals, for example, 579994426 + ... + 580005574.

It is an arithmetic number, because the mean of its divisors is an integer number (57959344625).

Almost surely, 2^{6466420000000} 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 6466420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346145626000).

6466420000000 is an abundant number, since it is smaller than the sum of its proper divisors (10225871252000).

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

6466420000000 is an frugal number, since it uses more digits than its factorization.

6466420000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 6466420000000 its reverse (246646), we get a palindrome (6466420246646).

The spelling of 6466420000000 in words is "six trillion, four hundred sixty-six billion, four hundred twenty million", and thus it is an aban number.