2688960568320 has 1056 divisors, whose sum is σ = 10421699500800. Its totient is φ = 657176592384.

The previous prime is 2688960568313. The next prime is 2688960568337. The reversal of 2688960568320 is 238650698862.

2688960568320 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 9 + 60 + 568 + 3 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4181897919 + ... + 4181898561.

Almost surely, 2^{2688960568320} is an apocalyptic number.

2688960568320 is a gapful number since it is divisible by the number (20) 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 2688960568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210849750400).

2688960568320 is an abundant number, since it is smaller than the sum of its proper divisors (7732738932480).

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

2688960568320 is a wasteful number, since it uses less digits than its factorization.

2688960568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 2688960568320 in words is "two trillion, six hundred eighty-eight billion, nine hundred sixty million, five hundred sixty-eight thousand, three hundred twenty".