6854473866240 has 4752 divisors, whose sum is σ = 34535311289856. Its totient is φ = 1239869030400.

The previous prime is 6854473866223. The next prime is 6854473866259. The reversal of 6854473866240 is 426683744586.

6854473866240 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 4 + 7 + 386 + 6 + 240 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 96541885405 + ... + 96541885475.

Almost surely, 2^{6854473866240} is an apocalyptic number.

6854473866240 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 6854473866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267655644928).

6854473866240 is an abundant number, since it is smaller than the sum of its proper divisors (27680837423616).

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

6854473866240 is a wasteful number, since it uses less digits than its factorization.

6854473866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 6854473866240 in words is "six trillion, eight hundred fifty-four billion, four hundred seventy-three million, eight hundred sixty-six thousand, two hundred forty".