1662189984000 has 2880 divisors, whose sum is σ = 7907878218240. Its totient is φ = 338610585600.

The previous prime is 1662189983969. The next prime is 1662189984001. The reversal of 1662189984000 is 4899812661.

1662189984000 is a `hidden beast` number, since 1 + 6 + 621 + 8 + 9 + 9 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1662189984001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57316895986 + ... + 57316896014.

It is an arithmetic number, because the mean of its divisors is an integer number (2745791048).

Almost surely, 2^{1662189984000} is an apocalyptic number.

1662189984000 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 1662189984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953939109120).

1662189984000 is an abundant number, since it is smaller than the sum of its proper divisors (6245688234240).

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

1662189984000 is an frugal number, since it uses more digits than its factorization.

1662189984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1662189984000 in words is "one trillion, six hundred sixty-two billion, one hundred eighty-nine million, nine hundred eighty-four thousand".