856334679840 has 288 divisors, whose sum is σ = 2978669571696. Its totient is φ = 223967969280.

The previous prime is 856334679803. The next prime is 856334679841. The reversal of 856334679840 is 48976433658.

856334679840 is a `hidden beast` number, since 8 + 56 + 33 + 467 + 98 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 184199184 + 856150480656 = 13572^2 + 925284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (856334679841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30993712 + ... + 31021328.

Almost surely, 2^856334679840 is an apocalyptic number.

856334679840 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 856334679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489334785848).

856334679840 is an abundant number, since it is smaller than the sum of its proper divisors (2122334891856).

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

856334679840 is a wasteful number, since it uses less digits than its factorization.

856334679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28052 (or 28041 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 856334679840 in words is "eight hundred fifty-six billion, three hundred thirty-four million, six hundred seventy-nine thousand, eight hundred forty".