2648761668768 has 96 divisors (see below), whose sum is σ = 7424031960576. Its totient is φ = 824892380928.

The previous prime is 2648761668731. The next prime is 2648761668823. The reversal of 2648761668768 is 8678661678462.

2648761668768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2648761668768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13854130 + ... + 14044017.

It is an arithmetic number, because the mean of its divisors is an integer number (77333666256).

Almost surely, 2^{2648761668768} is an apocalyptic number.

It is an amenable number.

2648761668768 is an abundant number, since it is smaller than the sum of its proper divisors (4775270291808).

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

2648761668768 is a wasteful number, since it uses less digits than its factorization.

2648761668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27898226 (or 27898218 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 75.

The spelling of 2648761668768 in words is "two trillion, six hundred forty-eight billion, seven hundred sixty-one million, six hundred sixty-eight thousand, seven hundred sixty-eight".