6854319156960 has 1008 divisors, whose sum is σ = 28092373177680. Its totient is φ = 1574136115200.

The previous prime is 6854319156931. The next prime is 6854319156967. The reversal of 6854319156960 is 696519134586.

6854319156960 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 3 + 1 + 9 + 1 + 569 + 60 = 666.

It is a super-2 number, since 2×6854319156960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854319156967) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 268142580 + ... + 268168140.

It is an arithmetic number, because the mean of its divisors is an integer number (27869417835).

Almost surely, 2^{6854319156960} is an apocalyptic number.

6854319156960 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 6854319156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046186588840).

6854319156960 is an abundant number, since it is smaller than the sum of its proper divisors (21238054020720).

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

6854319156960 is a wasteful number, since it uses less digits than its factorization.

6854319156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25635 (or 25601 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 6854319156960 in words is "six trillion, eight hundred fifty-four billion, three hundred nineteen million, one hundred fifty-six thousand, nine hundred sixty".