1664408088000 has 2016 divisors, whose sum is σ = 7295481805248. Its totient is φ = 374492160000.

The previous prime is 1664408087963. The next prime is 1664408088071. The reversal of 1664408088000 is 8808044661.

1664408088000 is a `hidden beast` number, since 166 + 4 + 408 + 0 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 9620855914 + ... + 9620856086.

It is an arithmetic number, because the mean of its divisors is an integer number (3618790578).

Almost surely, 2^{1664408088000} is an apocalyptic number.

1664408088000 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 1664408088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647740902624).

1664408088000 is an abundant number, since it is smaller than the sum of its proper divisors (5631073717248).

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

1664408088000 is a wasteful number, since it uses less digits than its factorization.

1664408088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1664408088000 in words is "one trillion, six hundred sixty-four billion, four hundred eight million, eighty-eight thousand".