6856436160 has 1120 divisors, whose sum is σ = 30590410752. Its totient is φ = 1423319040.

The previous prime is 6856436143. The next prime is 6856436189. The reversal of 6856436160 is 616346586.

6856436160 is a `hidden beast` number, since 6 + 8 + 56 + 436 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129366694 + ... + 129366746.

Almost surely, 2^6856436160 is an apocalyptic number.

6856436160 is a gapful number since it is divisible by the number (60) 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 6856436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295205376).

6856436160 is an abundant number, since it is smaller than the sum of its proper divisors (23733974592).

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

6856436160 is a wasteful number, since it uses less digits than its factorization.

6856436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6856436160 is about 82803.5999217425. The cubic root of 6856436160 is about 1899.7632355019.

The spelling of 6856436160 in words is "six billion, eight hundred fifty-six million, four hundred thirty-six thousand, one hundred sixty".