1648712768 has 42 divisors (see below), whose sum is σ = 3466931598. Its totient is φ = 775234560.

The previous prime is 1648712753. The next prime is 1648712801. The reversal of 1648712768 is 8672178461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1551729664 + 96983104 = 39392^2 + 9848^2 .

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 5 ways as a sum of consecutive naturals, for example, 1338713 + ... + 1339943.

Almost surely, 2^1648712768 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 1648712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733465799).

1648712768 is an abundant number, since it is smaller than the sum of its proper divisors (1818218830).

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

1648712768 is an frugal number, since it uses more digits than its factorization.

1648712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 1250 counting only the distinct ones).

The product of its digits is 903168, while the sum is 50.

The square root of 1648712768 is about 40604.3442010827. The cubic root of 1648712768 is about 1181.3583820452.

The spelling of 1648712768 in words is "one billion, six hundred forty-eight million, seven hundred twelve thousand, seven hundred sixty-eight".