6855482874240 has 3456 divisors, whose sum is σ = 33738879676320. Its totient is φ = 1309294264320.

The previous prime is 6855482874221. The next prime is 6855482874263. The reversal of 6855482874240 is 424782845586.

It is a happy number.

6855482874240 is a `hidden beast` number, since 6 + 8 + 5 + 54 + 82 + 87 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 29422673164 + ... + 29422673396.

Almost surely, 2^{6855482874240} is an apocalyptic number.

6855482874240 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 6855482874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869439838160).

6855482874240 is an abundant number, since it is smaller than the sum of its proper divisors (26883396802080).

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

6855482874240 is a wasteful number, since it uses less digits than its factorization.

6855482874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 63.

The spelling of 6855482874240 in words is "six trillion, eight hundred fifty-five billion, four hundred eighty-two million, eight hundred seventy-four thousand, two hundred forty".