6667635137328 has 240 divisors, whose sum is σ = 20467605989376. Its totient is φ = 2009484610560.

The previous prime is 6667635137321. The next prime is 6667635137329. The reversal of 6667635137328 is 8237315367666.

It is a super-3 number, since 3×6667635137328³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6667635137321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387486901 + ... + 387504107.

Almost surely, 2^{6667635137328} 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 6667635137328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233802994688).

6667635137328 is an abundant number, since it is smaller than the sum of its proper divisors (13799970852048).

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

6667635137328 is a wasteful number, since it uses less digits than its factorization.

6667635137328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18552 (or 18543 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 6667635137328 in words is "six trillion, six hundred sixty-seven billion, six hundred thirty-five million, one hundred thirty-seven thousand, three hundred twenty-eight".