6856335360 has 336 divisors, whose sum is σ = 27172712736. Its totient is φ = 1566572544.

The previous prime is 6856335329. The next prime is 6856335439. The reversal of 6856335360 is 635336586.

6856335360 is a `hidden beast` number, since 6 + 8 + 5 + 633 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579152 + ... + 2581808.

Almost surely, 2^6856335360 is an apocalyptic number.

6856335360 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 6856335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586356368).

6856335360 is an abundant number, since it is smaller than the sum of its proper divisors (20316377376).

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

6856335360 is a wasteful number, since it uses less digits than its factorization.

6856335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 6856335360 is about 82802.9912503166. The cubic root of 6856335360 is about 1899.7539256570.

The spelling of 6856335360 in words is "six billion, eight hundred fifty-six million, three hundred thirty-five thousand, three hundred sixty".