1813784672 has 96 divisors (see below), whose sum is σ = 4337141760. Its totient is φ = 728893440.

The previous prime is 1813784657. The next prime is 1813784683. The reversal of 1813784672 is 2764873181.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259729 + ... + 1261167.

It is an arithmetic number, because the mean of its divisors is an integer number (45178560).

Almost surely, 2^1813784672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813784672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168570880).

1813784672 is an abundant number, since it is smaller than the sum of its proper divisors (2523357088).

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

1813784672 is a wasteful number, since it uses less digits than its factorization.

1813784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1796 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 1813784672 is about 42588.5509497564. The cubic root of 1813784672 is about 1219.5377340307.

The spelling of 1813784672 in words is "one billion, eight hundred thirteen million, seven hundred eighty-four thousand, six hundred seventy-two".