6667719840 has 144 divisors (see below), whose sum is σ = 22788242568. Its totient is φ = 1775351808.

The previous prime is 6667719827. The next prime is 6667719899. The reversal of 6667719840 is 489177666.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6562944144 + 104775696 = 81012^2 + 10236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 1052362 + ... + 1058678.

Almost surely, 2^6667719840 is an apocalyptic number.

6667719840 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 6667719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394121284).

6667719840 is an abundant number, since it is smaller than the sum of its proper divisors (16120522728).

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

6667719840 is a wasteful number, since it uses less digits than its factorization.

6667719840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6667719840 is about 81656.1071812758. The cubic root of 6667719840 is about 1882.1711599488.

The spelling of 6667719840 in words is "six billion, six hundred sixty-seven million, seven hundred nineteen thousand, eight hundred forty".