1263823680 has 336 divisors, whose sum is σ = 4749247296. Its totient is φ = 283852800.

The previous prime is 1263823667. The next prime is 1263823789. The reversal of 1263823680 is 863283621.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 3151480 + ... + 3151880.

Almost surely, 2^1263823680 is an apocalyptic number.

1263823680 is a gapful number since it is divisible by the number (10) 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 1263823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374623648).

1263823680 is an abundant number, since it is smaller than the sum of its proper divisors (3485423616).

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

1263823680 is a wasteful number, since it uses less digits than its factorization.

1263823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1263823680 is about 35550.2978890473. The cubic root of 1263823680 is about 1081.1737581756.

The spelling of 1263823680 in words is "one billion, two hundred sixty-three million, eight hundred twenty-three thousand, six hundred eighty".