1664385408000 has 3520 divisors, whose sum is σ = 8012218705920. Its totient is φ = 334430208000.

The previous prime is 1664385407987. The next prime is 1664385408013. The reversal of 1664385408000 is 8045834661.

1664385408000 is a `hidden beast` number, since 1 + 66 + 43 + 8 + 540 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1664385407987) and next prime (1664385408013).

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 319 ways as a sum of consecutive naturals, for example, 23442047965 + ... + 23442048035.

It is an arithmetic number, because the mean of its divisors is an integer number (2276198496).

Almost surely, 2^{1664385408000} is an apocalyptic number.

1664385408000 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 1664385408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006109352960).

1664385408000 is an abundant number, since it is smaller than the sum of its proper divisors (6347833297920).

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

1664385408000 is a wasteful number, since it uses less digits than its factorization.

1664385408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1664385408000 in words is "one trillion, six hundred sixty-four billion, three hundred eighty-five million, four hundred eight thousand".