2868777360768 has 768 divisors, whose sum is σ = 8895111160320. Its totient is φ = 817496064000.

The previous prime is 2868777360733. The next prime is 2868777360817. The reversal of 2868777360768 is 8670637778682.

It is a self number, because there is not a number n which added to its sum of digits gives 2868777360768.

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, 11162557696 + ... + 11162557952.

It is an arithmetic number, because the mean of its divisors is an integer number (11582175990).

Almost surely, 2^{2868777360768} 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 2868777360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447555580160).

2868777360768 is an abundant number, since it is smaller than the sum of its proper divisors (6026333799552).

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

2868777360768 is a wasteful number, since it uses less digits than its factorization.

2868777360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 75.

The spelling of 2868777360768 in words is "two trillion, eight hundred sixty-eight billion, seven hundred seventy-seven million, three hundred sixty thousand, seven hundred sixty-eight".