6856697143296 has 3136 divisors, whose sum is σ = 29264859058176. Its totient is φ = 1547934105600.

The previous prime is 6856697143273. The next prime is 6856697143319. The reversal of 6856697143296 is 6923417966586.

6856697143296 is a `hidden beast` number, since 68 + 5 + 6 + 69 + 71 + 432 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6856697143273) and next prime (6856697143319).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 185316138990 + ... + 185316139026.

Almost surely, 2^{6856697143296} is an apocalyptic number.

6856697143296 is a gapful number since it is divisible by the number (66) 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 6856697143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632429529088).

6856697143296 is an abundant number, since it is smaller than the sum of its proper divisors (22408161914880).

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

6856697143296 is a wasteful number, since it uses less digits than its factorization.

6856697143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 6856697143296 in words is "six trillion, eight hundred fifty-six billion, six hundred ninety-seven million, one hundred forty-three thousand, two hundred ninety-six".