2768952775680 has 3168 divisors, whose sum is σ = 13210228362240. Its totient is φ = 529142906880.

The previous prime is 2768952775651. The next prime is 2768952775703. The reversal of 2768952775680 is 865772598672.

2768952775680 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 9 + 52 + 7 + 7 + 568 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2768952775599 and 2768952775608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15469009831 + ... + 15469010009.

Almost surely, 2^{2768952775680} is an apocalyptic number.

2768952775680 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 2768952775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605114181120).

2768952775680 is an abundant number, since it is smaller than the sum of its proper divisors (10441275586560).

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

2768952775680 is a wasteful number, since it uses less digits than its factorization.

2768952775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 2768952775680 in words is "two trillion, seven hundred sixty-eight billion, nine hundred fifty-two million, seven hundred seventy-five thousand, six hundred eighty".