10779007684 has 81 divisors (see below), whose sum is σ = 20604098151. Its totient is φ = 4933621440.

The previous prime is 10779007649. The next prime is 10779007697. The reversal of 10779007684 is 48670097701.

The square root of 10779007684 is 103822.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 237468100 + 10541539584 = 15410^2 + 102672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176705014 + ... + 176705074.

Almost surely, 2^10779007684 is an apocalyptic number.

10779007684 is the 103822-nd square number.

It is an amenable number.

10779007684 is a deficient number, since it is larger than the sum of its proper divisors (9825090467).

10779007684 is an equidigital number, since it uses as much as digits as its factorization.

10779007684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

Multiplying 10779007684 by its sum of digits (49), we get a square (528171376516 = 726754²).

The spelling of 10779007684 in words is "ten billion, seven hundred seventy-nine million, seven thousand, six hundred eighty-four".