8263981440 has 768 divisors, whose sum is σ = 34217164800. Its totient is φ = 1811496960.

The previous prime is 8263981399. The next prime is 8263981447. The reversal of 8263981440 is 441893628.

It is a happy number.

8263981440 is a `hidden beast` number, since 8 + 2 + 639 + 8 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8263981447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65070657 + ... + 65070783.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600).

Almost surely, 2^8263981440 is an apocalyptic number.

8263981440 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 8263981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

8263981440 is an abundant number, since it is smaller than the sum of its proper divisors (25953183360).

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

8263981440 is a wasteful number, since it uses less digits than its factorization.

8263981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8263981440 is about 90906.4433359924. The cubic root of 8263981440 is about 2021.7608278128.

The spelling of 8263981440 in words is "eight billion, two hundred sixty-three million, nine hundred eighty-one thousand, four hundred forty".