2560768865664 has 128 divisors (see below), whose sum is σ = 7099370772480. Its totient is φ = 816294420480.

The previous prime is 2560768865639. The next prime is 2560768865689. The reversal of 2560768865664 is 4665688670652.

2560768865664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2560768865639) and next prime (2560768865689).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 42637384 + ... + 42697400.

It is an arithmetic number, because the mean of its divisors is an integer number (55463834160).

Almost surely, 2^{2560768865664} is an apocalyptic number.

2560768865664 is a gapful number since it is divisible by the number (24) 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 2560768865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549685386240).

2560768865664 is an abundant number, since it is smaller than the sum of its proper divisors (4538601906816).

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

2560768865664 is a wasteful number, since it uses less digits than its factorization.

2560768865664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64888 (or 64876 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 69.

The spelling of 2560768865664 in words is "two trillion, five hundred sixty billion, seven hundred sixty-eight million, eight hundred sixty-five thousand, six hundred sixty-four".