474964447104 has 192 divisors, whose sum is σ = 1563935424480. Its totient is φ = 135536947200.

The previous prime is 474964447103. The next prime is 474964447121. The reversal of 474964447104 is 401744469474.

474964447104 is a `hidden beast` number, since 4 + 7 + 4 + 96 + 4 + 447 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474964447103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6584674 + ... + 6656414.

Almost surely, 2^474964447104 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 474964447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781967712240).

474964447104 is an abundant number, since it is smaller than the sum of its proper divisors (1088970977376).

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

474964447104 is a wasteful number, since it uses less digits than its factorization.

474964447104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72589 (or 72574 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 474964447104 in words is "four hundred seventy-four billion, nine hundred sixty-four million, four hundred forty-seven thousand, one hundred four".