6404444046 has 192 divisors, whose sum is σ = 18939787776. Its totient is φ = 1510099200.

The previous prime is 6404444029. The next prime is 6404444077.

6404444046 is a `hidden beast` number, since 640 + 4 + 4 + 4 + 4 + 0 + 4 + 6 = 666.

6404444046 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6404444046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096185 + ... + 1102011.

It is an arithmetic number, because the mean of its divisors is an integer number (98644728).

Almost surely, 2^6404444046 is an apocalyptic number.

6404444046 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 6404444046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469893888).

6404444046 is an abundant number, since it is smaller than the sum of its proper divisors (12535343730).

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

6404444046 is a wasteful number, since it uses less digits than its factorization.

6404444046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 6404444046 is about 80027.7704675071. The cubic root of 6404444046 is about 1857.0651722303.

The spelling of 6404444046 in words is "six billion, four hundred four million, four hundred forty-four thousand, forty-six".