6667362240 has 224 divisors, whose sum is σ = 26392656384. Its totient is φ = 1385410560.

The previous prime is 6667362239. The next prime is 6667362259. The reversal of 6667362240 is 422637666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6667362192 and 6667362201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28822 + ... + 119018.

Almost surely, 2^6667362240 is an apocalyptic number.

6667362240 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 6667362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13196328192).

6667362240 is an abundant number, since it is smaller than the sum of its proper divisors (19725294144).

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

6667362240 is a wasteful number, since it uses less digits than its factorization.

6667362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90235 (or 90225 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 6667362240 is about 81653.9174810370. The cubic root of 6667362240 is about 1882.1375114425.

The spelling of 6667362240 in words is "six billion, six hundred sixty-seven million, three hundred sixty-two thousand, two hundred forty".