8266256640 has 432 divisors, whose sum is σ = 29998725120. Its totient is φ = 2099036160.

The previous prime is 8266256633. The next prime is 8266256659. The reversal of 8266256640 is 466526628.

8266256640 is a `hidden beast` number, since 8 + 26 + 62 + 566 + 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 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, 28212334 + ... + 28212626.

Almost surely, 2^8266256640 is an apocalyptic number.

8266256640 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 8266256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999362560).

8266256640 is an abundant number, since it is smaller than the sum of its proper divisors (21732468480).

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

8266256640 is a wasteful number, since it uses less digits than its factorization.

8266256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8266256640 is about 90918.9564392377. The cubic root of 8266256640 is about 2021.9463513078.

The spelling of 8266256640 in words is "eight billion, two hundred sixty-six million, two hundred fifty-six thousand, six hundred forty".