1609274833920 has 1056 divisors, whose sum is σ = 6303828271104. Its totient is φ = 376632115200.

The previous prime is 1609274833877. The next prime is 1609274833921. The reversal of 1609274833920 is 293384729061.

1609274833920 is a `hidden beast` number, since 1 + 609 + 2 + 7 + 4 + 8 + 3 + 3 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609274833921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3733816105 + ... + 3733816535.

Almost surely, 2^{1609274833920} is an apocalyptic number.

1609274833920 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 1609274833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151914135552).

1609274833920 is an abundant number, since it is smaller than the sum of its proper divisors (4694553437184).

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

1609274833920 is a wasteful number, since it uses less digits than its factorization.

1609274833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1609274833920 in words is "one trillion, six hundred nine billion, two hundred seventy-four million, eight hundred thirty-three thousand, nine hundred twenty".