1665008679600 has 720 divisors, whose sum is σ = 6842645971200. Its totient is φ = 366833940480.

The previous prime is 1665008679547. The next prime is 1665008679601. The reversal of 1665008679600 is 69768005661.

1665008679600 is a `hidden beast` number, since 1 + 6 + 6 + 500 + 8 + 6 + 79 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1665008679601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 540059659 + ... + 540062741.

It is an arithmetic number, because the mean of its divisors is an integer number (9503674960).

Almost surely, 2^{1665008679600} is an apocalyptic number.

1665008679600 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 1665008679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421322985600).

1665008679600 is an abundant number, since it is smaller than the sum of its proper divisors (5177637291600).

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

1665008679600 is a wasteful number, since it uses less digits than its factorization.

1665008679600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1665008679600 in words is "one trillion, six hundred sixty-five billion, eight million, six hundred seventy-nine thousand, six hundred".