1604447671200 has 576 divisors, whose sum is σ = 5966600113152. Its totient is φ = 370691481600.

The previous prime is 1604447671199. The next prime is 1604447671213. The reversal of 1604447671200 is 21767444061.

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, 171832932 + ... + 171842268.

It is an arithmetic number, because the mean of its divisors is an integer number (10358680752).

Almost surely, 2^{1604447671200} is an apocalyptic number.

1604447671200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604447671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983300056576).

1604447671200 is an abundant number, since it is smaller than the sum of its proper divisors (4362152441952).

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

1604447671200 is a wasteful number, since it uses less digits than its factorization.

1604447671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 1604447671200 in words is "one trillion, six hundred four billion, four hundred forty-seven million, six hundred seventy-one thousand, two hundred".