2768921964576 has 144 divisors (see below), whose sum is σ = 8168991831000. Its totient is φ = 888592932864.

The previous prime is 2768921964521. The next prime is 2768921964577. The reversal of 2768921964576 is 6754691298672.

2768921964576 is a `hidden beast` number, since 2 + 7 + 6 + 89 + 2 + 1 + 96 + 457 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2349095720976 + 419826243600 = 1532676^2 + 647940^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2768921964576² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2768921964577) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2439880 + ... + 3389816.

Almost surely, 2^{2768921964576} 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 2768921964576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084495915500).

2768921964576 is an abundant number, since it is smaller than the sum of its proper divisors (5400069866424).

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

2768921964576 is a wasteful number, since it uses less digits than its factorization.

2768921964576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950331 (or 950320 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 2768921964576 in words is "two trillion, seven hundred sixty-eight billion, nine hundred twenty-one million, nine hundred sixty-four thousand, five hundred seventy-six".