1609331068800 has 3456 divisors, whose sum is σ = 7883218879200. Its totient is φ = 321680056320.

The previous prime is 1609331068789. The next prime is 1609331068801. The reversal of 1609331068800 is 88601339061.

It is a happy number.

1609331068800 is a `hidden beast` number, since 1 + 609 + 3 + 31 + 0 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609331068801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 84701635191 + ... + 84701635209.

Almost surely, 2^{1609331068800} is an apocalyptic number.

1609331068800 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 1609331068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941609439600).

1609331068800 is an abundant number, since it is smaller than the sum of its proper divisors (6273887810400).

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

1609331068800 is an equidigital number, since it uses as much as digits as its factorization.

1609331068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1609331068800 in words is "one trillion, six hundred nine billion, three hundred thirty-one million, sixty-eight thousand, eight hundred".