6856485840 has 320 divisors, whose sum is σ = 24969830400. Its totient is φ = 1725774336.

The previous prime is 6856485763. The next prime is 6856485859. The reversal of 6856485840 is 485846586.

6856485840 is a `hidden beast` number, since 6 + 8 + 56 + 4 + 8 + 584 + 0 = 666.

It is a super-2 number, since 2×6856485840² = 94022796148241011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3923847 + ... + 3925593.

It is an arithmetic number, because the mean of its divisors is an integer number (78030720).

Almost surely, 2^6856485840 is an apocalyptic number.

6856485840 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 6856485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484915200).

6856485840 is an abundant number, since it is smaller than the sum of its proper divisors (18113344560).

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

6856485840 is a wasteful number, since it uses less digits than its factorization.

6856485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 6856485840 is about 82803.8999081565. The cubic root of 6856485840 is about 1899.7678238919.

The spelling of 6856485840 in words is "six billion, eight hundred fifty-six million, four hundred eighty-five thousand, eight hundred forty".