8267360256 has 480 divisors, whose sum is σ = 27034207200. Its totient is φ = 2508226560.

The previous prime is 8267360249. The next prime is 8267360261. The reversal of 8267360256 is 6520637628.

It is a happy number.

8267360256 is a `hidden beast` number, since 8 + 267 + 360 + 25 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135530466 + ... + 135530526.

It is an arithmetic number, because the mean of its divisors is an integer number (56321265).

Almost surely, 2^8267360256 is an apocalyptic number.

8267360256 is a gapful number since it is divisible by the number (86) 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 8267360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517103600).

8267360256 is an abundant number, since it is smaller than the sum of its proper divisors (18766846944).

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

8267360256 is a wasteful number, since it uses less digits than its factorization.

8267360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8267360256 is about 90925.0254660399. The cubic root of 8267360256 is about 2022.0363296839.

The spelling of 8267360256 in words is "eight billion, two hundred sixty-seven million, three hundred sixty thousand, two hundred fifty-six".