604401907104 has 288 divisors, whose sum is σ = 1778437140480. Its totient is φ = 194608687104.

The previous prime is 604401907099. The next prime is 604401907111. The reversal of 604401907104 is 401709104406.

604401907104 is a `hidden beast` number, since 60 + 4 + 401 + 90 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 472557537 + ... + 472558815.

It is an arithmetic number, because the mean of its divisors is an integer number (6175128960).

Almost surely, 2^604401907104 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 604401907104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889218570240).

604401907104 is an abundant number, since it is smaller than the sum of its proper divisors (1174035233376).

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

604401907104 is a wasteful number, since it uses less digits than its factorization.

604401907104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 604401907104 in words is "six hundred four billion, four hundred one million, nine hundred seven thousand, one hundred four".