6856084620000 has 3360 divisors, whose sum is σ = 32711325825024. Its totient is φ = 1371686400000.

The previous prime is 6856084619987. The next prime is 6856084620017. The reversal of 6856084620000 is 264806586.

6856084620000 is a `hidden beast` number, since 6 + 8 + 560 + 84 + 6 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 34802459902 + ... + 34802460098.

Almost surely, 2^{6856084620000} is an apocalyptic number.

6856084620000 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 6856084620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355662912512).

6856084620000 is an abundant number, since it is smaller than the sum of its proper divisors (25855241205024).

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

6856084620000 is a wasteful number, since it uses less digits than its factorization.

6856084620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6856084620000 in words is "six trillion, eight hundred fifty-six billion, eighty-four million, six hundred twenty thousand".