2688123908736 has 768 divisors, whose sum is σ = 9744268896000. Its totient is φ = 712097464320.

The previous prime is 2688123908671. The next prime is 2688123908779. The reversal of 2688123908736 is 6378093218862.

2688123908736 is a `hidden beast` number, since 2 + 68 + 81 + 2 + 390 + 87 + 36 = 666.

It is a super-2 number, since 2×2688123908736² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9919276281 + ... + 9919276551.

It is an arithmetic number, because the mean of its divisors is an integer number (12687850125).

Almost surely, 2^{2688123908736} 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 2688123908736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872134448000).

2688123908736 is an abundant number, since it is smaller than the sum of its proper divisors (7056144987264).

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

2688123908736 is an equidigital number, since it uses as much as digits as its factorization.

2688123908736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2688123908736 in words is "two trillion, six hundred eighty-eight billion, one hundred twenty-three million, nine hundred eight thousand, seven hundred thirty-six".