6853754880 has 456 divisors, whose sum is σ = 27481027392. Its totient is φ = 1547698176.

The previous prime is 6853754851. The next prime is 6853754891. The reversal of 6853754880 is 884573586.

6853754880 is a `hidden beast` number, since 68 + 5 + 37 + 548 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82575319 + ... + 82575401.

Almost surely, 2^6853754880 is an apocalyptic number.

6853754880 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 6853754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740513696).

6853754880 is an abundant number, since it is smaller than the sum of its proper divisors (20627272512).

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

6853754880 is an frugal number, since it uses more digits than its factorization.

6853754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 6853754880 is about 82787.4077381337. The cubic root of 6853754880 is about 1899.5155625521.

The spelling of 6853754880 in words is "six billion, eight hundred fifty-three million, seven hundred fifty-four thousand, eight hundred eighty".