1664822016 has 432 divisors, whose sum is σ = 5856893952. Its totient is φ = 447897600.

The previous prime is 1664821999. The next prime is 1664822017. The reversal of 1664822016 is 6102284661.

1664822016 is a `hidden beast` number, since 1 + 6 + 648 + 2 + 2 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1664822017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10213551 + ... + 10213713.

Almost surely, 2^1664822016 is an apocalyptic number.

1664822016 is a gapful number since it is divisible by the number (16) 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 1664822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928446976).

1664822016 is an abundant number, since it is smaller than the sum of its proper divisors (4192071936).

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

1664822016 is a wasteful number, since it uses less digits than its factorization.

1664822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1664822016 is about 40802.2305272641. The cubic root of 1664822016 is about 1185.1935249814.

The spelling of 1664822016 in words is "one billion, six hundred sixty-four million, eight hundred twenty-two thousand, sixteen".