6854855454720 has 2340 divisors, whose sum is σ = 31014836523000. Its totient is φ = 1443400777728.

The previous prime is 6854855454679. The next prime is 6854855454751. The reversal of 6854855454720 is 274545584586.

It is a happy number.

6854855454720 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 8 + 554 + 5 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13737185031 + ... + 13737185529.

Almost surely, 2^{6854855454720} is an apocalyptic number.

6854855454720 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 6854855454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507418261500).

6854855454720 is an abundant number, since it is smaller than the sum of its proper divisors (24159981068280).

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

6854855454720 is a wasteful number, since it uses less digits than its factorization.

6854855454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 215040000, while the sum is 63.

The spelling of 6854855454720 in words is "six trillion, eight hundred fifty-four billion, eight hundred fifty-five million, four hundred fifty-four thousand, seven hundred twenty".