1644302016 has 504 divisors, whose sum is σ = 6098133600. Its totient is φ = 420102144.

The previous prime is 1644301979. The next prime is 1644302017. The reversal of 1644302016 is 6102034461.

1644302016 is a `hidden beast` number, since 1 + 644 + 3 + 0 + 2 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×1644302016³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1644302017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11035510 + ... + 11035658.

Almost surely, 2^1644302016 is an apocalyptic number.

1644302016 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 1644302016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049066800).

1644302016 is an abundant number, since it is smaller than the sum of its proper divisors (4453831584).

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

1644302016 is a wasteful number, since it uses less digits than its factorization.

1644302016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1644302016 is about 40549.9940320587. The cubic root of 1644302016 is about 1180.3039569357.

Adding to 1644302016 its reverse (6102034461), we get a palindrome (7746336477).

The spelling of 1644302016 in words is "one billion, six hundred forty-four million, three hundred two thousand, sixteen".