1604290742208 has 504 divisors, whose sum is σ = 5934432591360. Its totient is φ = 409631523840.

The previous prime is 1604290742191. The next prime is 1604290742231. The reversal of 1604290742208 is 8022470924061.

1604290742208 is a `hidden beast` number, since 16 + 0 + 429 + 0 + 7 + 4 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 18273585 + ... + 18361167.

It is an arithmetic number, because the mean of its divisors is an integer number (11774667840).

Almost surely, 2^{1604290742208} is an apocalyptic number.

1604290742208 is a gapful number since it is divisible by the number (18) 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 1604290742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967216295680).

1604290742208 is an abundant number, since it is smaller than the sum of its proper divisors (4330141849152).

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

1604290742208 is a wasteful number, since it uses less digits than its factorization.

1604290742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87685 (or 87665 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1604290742208 in words is "one trillion, six hundred four billion, two hundred ninety million, seven hundred forty-two thousand, two hundred eight".