6689937316608 has 2592 divisors, whose sum is σ = 26870286643200. Its totient is φ = 1580182732800.

The previous prime is 6689937316603. The next prime is 6689937316637. The reversal of 6689937316608 is 8066137399866.

6689937316608 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 9 + 3 + 7 + 3 + 1 + 6 + 608 = 666.

It is a super-2 number, since 2×6689937316608² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6689937316603) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61375571658 + ... + 61375571766.

Almost surely, 2^{6689937316608} 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 6689937316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435143321600).

6689937316608 is an abundant number, since it is smaller than the sum of its proper divisors (20180349326592).

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

6689937316608 is a wasteful number, since it uses less digits than its factorization.

6689937316608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 6689937316608 in words is "six trillion, six hundred eighty-nine billion, nine hundred thirty-seven million, three hundred sixteen thousand, six hundred eight".