6004406919366 has 80 divisors (see below), whose sum is σ = 13893965205120. Its totient is φ = 1936119490560.

The previous prime is 6004406919353. The next prime is 6004406919389. The reversal of 6004406919366 is 6639196044006.

6004406919366 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 406 + 91 + 93 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 12198150 + ... + 12680838.

It is an arithmetic number, because the mean of its divisors is an integer number (173674565064).

Almost surely, 2^{6004406919366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004406919366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946982602560).

6004406919366 is an abundant number, since it is smaller than the sum of its proper divisors (7889558285754).

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

6004406919366 is a wasteful number, since it uses less digits than its factorization.

6004406919366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485211 (or 485202 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 6004406919366 in words is "six trillion, four billion, four hundred six million, nine hundred nineteen thousand, three hundred sixty-six".