6845918394240 has 896 divisors, whose sum is σ = 24992440941600. Its totient is φ = 1792088064000.

The previous prime is 6845918394239. The next prime is 6845918394307. The reversal of 6845918394240 is 424938195486.

6845918394240 is a `hidden beast` number, since 6 + 8 + 4 + 591 + 8 + 39 + 4 + 2 + 4 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 6173054806 + ... + 6173055914.

Almost surely, 2^{6845918394240} is an apocalyptic number.

6845918394240 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 6845918394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496220470800).

6845918394240 is an abundant number, since it is smaller than the sum of its proper divisors (18146522547360).

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

6845918394240 is a wasteful number, since it uses less digits than its factorization.

6845918394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6845918394240 in words is "six trillion, eight hundred forty-five billion, nine hundred eighteen million, three hundred ninety-four thousand, two hundred forty".