1263804768 has 120 divisors (see below), whose sum is σ = 3742588080. Its totient is φ = 418348800.

The previous prime is 1263804743. The next prime is 1263804781. The reversal of 1263804768 is 8674083621.

1263804768 is a `hidden beast` number, since 1 + 2 + 638 + 0 + 4 + 7 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 389778 + ... + 393006.

It is an arithmetic number, because the mean of its divisors is an integer number (31188234).

Almost surely, 2^1263804768 is an apocalyptic number.

1263804768 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 1263804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871294040).

1263804768 is an abundant number, since it is smaller than the sum of its proper divisors (2478783312).

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

1263804768 is a wasteful number, since it uses less digits than its factorization.

1263804768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3385 counting only the distinct ones).

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

The square root of 1263804768 is about 35550.0318987199. The cubic root of 1263804768 is about 1081.1683652134.

The spelling of 1263804768 in words is "one billion, two hundred sixty-three million, eight hundred four thousand, seven hundred sixty-eight".