6466448406 has 96 divisors (see below), whose sum is σ = 15045927552. Its totient is φ = 1837066240.

The previous prime is 6466448399. The next prime is 6466448431. The reversal of 6466448406 is 6048446646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6618190 + ... + 6619166.

It is an arithmetic number, because the mean of its divisors is an integer number (156728412).

Almost surely, 2^6466448406 is an apocalyptic number.

6466448406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6466448406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522963776).

6466448406 is an abundant number, since it is smaller than the sum of its proper divisors (8579479146).

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

6466448406 is a wasteful number, since it uses less digits than its factorization.

6466448406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The square root of 6466448406 is about 80414.2301212913. The cubic root of 6466448406 is about 1863.0389683586.

The spelling of 6466448406 in words is "six billion, four hundred sixty-six million, four hundred forty-eight thousand, four hundred six".