1830009664 has 84 divisors (see below), whose sum is σ = 4284329760. Its totient is φ = 773149440.

The previous prime is 1830009661. The next prime is 1830009673. The reversal of 1830009664 is 4669000381.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830009661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218547 + ... + 226765.

Almost surely, 2^1830009664 is an apocalyptic number.

1830009664 is a gapful number since it is divisible by the number (14) 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 1830009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142164880).

1830009664 is an abundant number, since it is smaller than the sum of its proper divisors (2454320096).

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

1830009664 is an equidigital number, since it uses as much as digits as its factorization.

1830009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1830009664 is about 42778.6122262048. The cubic root of 1830009664 is about 1223.1633538095.

The spelling of 1830009664 in words is "one billion, eight hundred thirty million, nine thousand, six hundred sixty-four".