1604783664000 has 1536 divisors, whose sum is σ = 6588942796800. Its totient is φ = 384943104000.

The previous prime is 1604783663993. The next prime is 1604783664017. The reversal of 1604783664000 is 4663874061.

It is a happy number.

1604783664000 is a `hidden beast` number, since 1 + 604 + 7 + 8 + 36 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6714575881 + ... + 6714576119.

It is an arithmetic number, because the mean of its divisors is an integer number (4289676300).

Almost surely, 2^{1604783664000} is an apocalyptic number.

1604783664000 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 1604783664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294471398400).

1604783664000 is an abundant number, since it is smaller than the sum of its proper divisors (4984159132800).

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

1604783664000 is a wasteful number, since it uses less digits than its factorization.

1604783664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1604783664000 in words is "one trillion, six hundred four billion, seven hundred eighty-three million, six hundred sixty-four thousand".