6856320824640 has 448 divisors, whose sum is σ = 27672550110720. Its totient is φ = 1565480632320.

The previous prime is 6856320824627. The next prime is 6856320824659. The reversal of 6856320824640 is 464280236586.

It is a happy number.

6856320824640 is a `hidden beast` number, since 6 + 85 + 6 + 3 + 20 + 82 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6856320824640² (a number of 26 digits) 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56851444 + ... + 56971916.

Almost surely, 2^{6856320824640} is an apocalyptic number.

6856320824640 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 6856320824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13836275055360).

6856320824640 is an abundant number, since it is smaller than the sum of its proper divisors (20816229286080).

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

6856320824640 is a wasteful number, since it uses less digits than its factorization.

6856320824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121447 (or 121431 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6856320824640 in words is "six trillion, eight hundred fifty-six billion, three hundred twenty million, eight hundred twenty-four thousand, six hundred forty".