6857343360 has 384 divisors, whose sum is σ = 28068768000. Its totient is φ = 1567143936.

The previous prime is 6857343359. The next prime is 6857343377. The reversal of 6857343360 is 633437586.

6857343360 is a `hidden beast` number, since 6 + 8 + 573 + 43 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085491 + ... + 1091789.

It is an arithmetic number, because the mean of its divisors is an integer number (73095750).

Almost surely, 2^6857343360 is an apocalyptic number.

6857343360 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 6857343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

6857343360 is an abundant number, since it is smaller than the sum of its proper divisors (21211424640).

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

6857343360 is an equidigital number, since it uses as much as digits as its factorization.

6857343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6857343360 is about 82809.0777632501. The cubic root of 6857343360 is about 1899.8470200007.

The spelling of 6857343360 in words is "six billion, eight hundred fifty-seven million, three hundred forty-three thousand, three hundred sixty".