2767805676768 has 96 divisors (see below), whose sum is σ = 7944906695040. Its totient is φ = 836727119360.

The previous prime is 2767805676767. The next prime is 2767805676781. The reversal of 2767805676768 is 8676765087672.

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 2767805676768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2767805676767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2685255 + ... + 3570182.

It is an arithmetic number, because the mean of its divisors is an integer number (82759444740).

Almost surely, 2^{2767805676768} is an apocalyptic number.

It is an amenable number.

2767805676768 is an abundant number, since it is smaller than the sum of its proper divisors (5177101018272).

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

2767805676768 is a wasteful number, since it uses less digits than its factorization.

2767805676768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255880 (or 6255872 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 75.

The spelling of 2767805676768 in words is "two trillion, seven hundred sixty-seven billion, eight hundred five million, six hundred seventy-six thousand, seven hundred sixty-eight".