6856381350 has 768 divisors, whose sum is σ = 25498368000. Its totient is φ = 1341204480.

The previous prime is 6856381339. The next prime is 6856381369. The reversal of 6856381350 is 531836586.

6856381350 is a `hidden beast` number, since 6 + 8 + 5 + 638 + 1 + 3 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6856381296 and 6856381305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102334017 + ... + 102334083.

It is an arithmetic number, because the mean of its divisors is an integer number (33201000).

Almost surely, 2^6856381350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856381350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184000).

6856381350 is an abundant number, since it is smaller than the sum of its proper divisors (18641986650).

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

6856381350 is a wasteful number, since it uses less digits than its factorization.

6856381350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6856381350 is about 82803.2689572097. The cubic root of 6856381350 is about 1899.7581732851.

The spelling of 6856381350 in words is "six billion, eight hundred fifty-six million, three hundred eighty-one thousand, three hundred fifty".