6857738809344 has 416 divisors, whose sum is σ = 21270703334400. Its totient is φ = 2179243376640.

The previous prime is 6857738809297. The next prime is 6857738809349. The reversal of 6857738809344 is 4439088377586.

6857738809344 is a `hidden beast` number, since 6 + 8 + 577 + 3 + 8 + 8 + 0 + 9 + 3 + 44 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857738809349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 791060242 + ... + 791068910.

It is an arithmetic number, because the mean of its divisors is an integer number (51131498400).

Almost surely, 2^{6857738809344} is an apocalyptic number.

6857738809344 is a gapful number since it is divisible by the number (64) 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 6857738809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635351667200).

6857738809344 is an abundant number, since it is smaller than the sum of its proper divisors (14412964525056).

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

6857738809344 is a wasteful number, since it uses less digits than its factorization.

6857738809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 6857738809344 in words is "six trillion, eight hundred fifty-seven billion, seven hundred thirty-eight million, eight hundred nine thousand, three hundred forty-four".