1364000768 has 68 divisors (see below), whose sum is σ = 2939660388. Its totient is φ = 629145600.

The previous prime is 1364000749. The next prime is 1364000773. The reversal of 1364000768 is 8670004631.

It can be written as a sum of positive squares in 2 ways, for example, as 912523264 + 451477504 = 30208^2 + 21248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 851168 + ... + 852768.

Almost surely, 2^1364000768 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 1364000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469830194).

1364000768 is an abundant number, since it is smaller than the sum of its proper divisors (1575659620).

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

1364000768 is an frugal number, since it uses more digits than its factorization.

1364000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1364000768 is about 36932.3810226202. The cubic root of 1364000768 is about 1109.0170038234.

The spelling of 1364000768 in words is "one billion, three hundred sixty-four million, seven hundred sixty-eight", and thus it is an aban number.