8256651840 has 224 divisors, whose sum is σ = 29208130560. Its totient is φ = 2195693568.

The previous prime is 8256651827. The next prime is 8256651853. The reversal of 8256651840 is 481566528.

8256651840 is a `hidden beast` number, since 8 + 2 + 566 + 5 + 1 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8256651827) and next prime (8256651853).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3740017 + ... + 3742223.

It is an arithmetic number, because the mean of its divisors is an integer number (130393440).

Almost surely, 2^8256651840 is an apocalyptic number.

8256651840 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 8256651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604065280).

8256651840 is an abundant number, since it is smaller than the sum of its proper divisors (20951478720).

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

8256651840 is a wasteful number, since it uses less digits than its factorization.

8256651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8256651840 is about 90866.1204189989. The cubic root of 8256651840 is about 2021.1629287050.

The spelling of 8256651840 in words is "eight billion, two hundred fifty-six million, six hundred fifty-one thousand, eight hundred forty".