6854447846400 has 1056 divisors, whose sum is σ = 29008617234432. Its totient is φ = 1385761996800.

The previous prime is 6854447846383. The next prime is 6854447846417. The reversal of 6854447846400 is 46487444586.

It is an interprime number because it is at equal distance from previous prime (6854447846383) and next prime (6854447846417).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218787537 + ... + 218818863.

It is an arithmetic number, because the mean of its divisors is an integer number (27470281472).

Almost surely, 2^{6854447846400} is an apocalyptic number.

6854447846400 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 6854447846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504308617216).

6854447846400 is an abundant number, since it is smaller than the sum of its proper divisors (22154169388032).

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

6854447846400 is a wasteful number, since it uses less digits than its factorization.

6854447846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31415 (or 31392 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 60.

The spelling of 6854447846400 in words is "six trillion, eight hundred fifty-four billion, four hundred forty-seven million, eight hundred forty-six thousand, four hundred".