4086768676804 has 24 divisors (see below), whose sum is σ = 7802330760000. Its totient is φ = 1857546451680.

The previous prime is 4086768676787. The next prime is 4086768676811.

4086768676804 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792304 + ... + 2966695.

It is an arithmetic number, because the mean of its divisors is an integer number (325097115000).

Almost surely, 2^{4086768676804} is an apocalyptic number.

4086768676804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4086768676804 is a deficient number, since it is larger than the sum of its proper divisors (3715562083196).

4086768676804 is a wasteful number, since it uses less digits than its factorization.

4086768676804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783723 (or 3783721 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 70.

The spelling of 4086768676804 in words is "four trillion, eighty-six billion, seven hundred sixty-eight million, six hundred seventy-six thousand, eight hundred four".