8263789440 has 256 divisors, whose sum is σ = 27251380800. Its totient is φ = 2128609280.

The previous prime is 8263789427. The next prime is 8263789459. The reversal of 8263789440 is 449873628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8894896 + ... + 8895824.

Almost surely, 2^8263789440 is an apocalyptic number.

8263789440 is a gapful number since it is divisible by the number (80) 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 8263789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625690400).

8263789440 is an abundant number, since it is smaller than the sum of its proper divisors (18987591360).

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

8263789440 is a wasteful number, since it uses less digits than its factorization.

8263789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 8263789440 is about 90905.3872991035. The cubic root of 8263789440 is about 2021.7451702637.

The spelling of 8263789440 in words is "eight billion, two hundred sixty-three million, seven hundred eighty-nine thousand, four hundred forty".