1604427289920 has 2688 divisors, whose sum is σ = 7419500121600. Its totient is φ = 327323566080.

The previous prime is 1604427289867. The next prime is 1604427289939. The reversal of 1604427289920 is 299827244061.

It is a happy number.

1604427289920 is a `hidden beast` number, since 1 + 604 + 4 + 2 + 7 + 2 + 8 + 9 + 9 + 20 = 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26302086690 + ... + 26302086750.

It is an arithmetic number, because the mean of its divisors is an integer number (2760230700).

Almost surely, 2^{1604427289920} is an apocalyptic number.

1604427289920 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 1604427289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709750060800).

1604427289920 is an abundant number, since it is smaller than the sum of its proper divisors (5815072831680).

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

1604427289920 is an equidigital number, since it uses as much as digits as its factorization.

1604427289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1604427289920 in words is "one trillion, six hundred four billion, four hundred twenty-seven million, two hundred eighty-nine thousand, nine hundred twenty".