6681255840 has 672 divisors, whose sum is σ = 27763948800. Its totient is φ = 1517999616.

The previous prime is 6681255821. The next prime is 6681255863. The reversal of 6681255840 is 485521866.

6681255840 is a `hidden beast` number, since 6 + 68 + 1 + 2 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 40007437 + ... + 40007603.

It is an arithmetic number, because the mean of its divisors is an integer number (41315400).

Almost surely, 2^6681255840 is an apocalyptic number.

6681255840 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 6681255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881974400).

6681255840 is an abundant number, since it is smaller than the sum of its proper divisors (21082692960).

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

6681255840 is an equidigital number, since it uses as much as digits as its factorization.

6681255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6681255840 is about 81738.9493448503. The cubic root of 6681255840 is about 1883.4439512824.

The spelling of 6681255840 in words is "six billion, six hundred eighty-one million, two hundred fifty-five thousand, eight hundred forty".