1604885667840 has 1792 divisors, whose sum is σ = 7229196656640. Its totient is φ = 328697118720.

The previous prime is 1604885667839. The next prime is 1604885667961. The reversal of 1604885667840 is 487665884061.

1604885667840 is a `hidden beast` number, since 1 + 6 + 0 + 488 + 56 + 67 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3723632425 + ... + 3723632855.

It is an arithmetic number, because the mean of its divisors is an integer number (4034149920).

Almost surely, 2^{1604885667840} is an apocalyptic number.

1604885667840 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 1604885667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614598328320).

1604885667840 is an abundant number, since it is smaller than the sum of its proper divisors (5624310988800).

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

1604885667840 is a wasteful number, since it uses less digits than its factorization.

1604885667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 1604885667840 in words is "one trillion, six hundred four billion, eight hundred eighty-five million, six hundred sixty-seven thousand, eight hundred forty".