6687318240 has 144 divisors (see below), whose sum is σ = 23161411728. Its totient is φ = 1756643328.

The previous prime is 6687318193. The next prime is 6687318277. The reversal of 6687318240 is 428137866.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61824 + ... + 131136.

It is an arithmetic number, because the mean of its divisors is an integer number (160843137).

Almost surely, 2^6687318240 is an apocalyptic number.

6687318240 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 6687318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580705864).

6687318240 is an abundant number, since it is smaller than the sum of its proper divisors (16474093488).

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

6687318240 is a wasteful number, since it uses less digits than its factorization.

6687318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69401 (or 69390 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6687318240 is about 81776.0248483625. The cubic root of 6687318240 is about 1884.0134419639.

The spelling of 6687318240 in words is "six billion, six hundred eighty-seven million, three hundred eighteen thousand, two hundred forty".