6681201408 has 432 divisors, whose sum is σ = 23272820480. Its totient is φ = 1872211968.

The previous prime is 6681201403. The next prime is 6681201413. The reversal of 6681201408 is 8041021866.

It is an interprime number because it is at equal distance from previous prime (6681201403) and next prime (6681201413).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6681201408² = 89276904508522364928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6681201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29175438 + ... + 29175666.

Almost surely, 2^6681201408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636410240).

6681201408 is an abundant number, since it is smaller than the sum of its proper divisors (16591619072).

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

6681201408 is an equidigital number, since it uses as much as digits as its factorization.

6681201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6681201408 is about 81738.6163817323. The cubic root of 6681201408 is about 1883.4388364805.

The spelling of 6681201408 in words is "six billion, six hundred eighty-one million, two hundred one thousand, four hundred eight".