6856815025440 has 288 divisors, whose sum is σ = 24778883840256. Its totient is φ = 1720676229120.

The previous prime is 6856815025397. The next prime is 6856815025447. The reversal of 6856815025440 is 445205186586.

6856815025440 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 81 + 502 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6856815025447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214991895 + ... + 215023785.

It is an arithmetic number, because the mean of its divisors is an integer number (86037791112).

Almost surely, 2^{6856815025440} is an apocalyptic number.

6856815025440 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 6856815025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389441920128).

6856815025440 is an abundant number, since it is smaller than the sum of its proper divisors (17922068814816).

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

6856815025440 is a wasteful number, since it uses less digits than its factorization.

6856815025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40712 (or 40701 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 6856815025440 in words is "six trillion, eight hundred fifty-six billion, eight hundred fifteen million, twenty-five thousand, four hundred forty".