1630284768 has 144 divisors (see below), whose sum is σ = 5610215520. Its totient is φ = 438386688.

The previous prime is 1630284749. The next prime is 1630284779. The reversal of 1630284768 is 8674820361.

1630284768 is a `hidden beast` number, since 1 + 630 + 2 + 8 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10488 + ... + 58056.

It is an arithmetic number, because the mean of its divisors is an integer number (38959830).

Almost surely, 2^1630284768 is an apocalyptic number.

1630284768 is a gapful number since it is divisible by the number (18) 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 1630284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805107760).

1630284768 is an abundant number, since it is smaller than the sum of its proper divisors (3979930752).

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

1630284768 is a wasteful number, since it uses less digits than its factorization.

1630284768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47609 (or 47598 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1630284768 is about 40376.7850131731. The cubic root of 1630284768 is about 1176.9404527684.

The spelling of 1630284768 in words is "one billion, six hundred thirty million, two hundred eighty-four thousand, seven hundred sixty-eight".