10767779776 has 56 divisors (see below), whose sum is σ = 23138408384. Its totient is φ = 4942218240.

The previous prime is 10767779761. The next prime is 10767779801. The reversal of 10767779776 is 67797776701.

It is a super-2 number, since 2×10767779776² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114841 + ... + 186343.

It is an arithmetic number, because the mean of its divisors is an integer number (413185864).

Almost surely, 2^10767779776 is an apocalyptic number.

10767779776 is a gapful number since it is divisible by the number (16) 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 10767779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569204192).

10767779776 is an abundant number, since it is smaller than the sum of its proper divisors (12370628608).

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

10767779776 is a wasteful number, since it uses less digits than its factorization.

10767779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71709 (or 71699 counting only the distinct ones).

The product of its (nonzero) digits is 38118276, while the sum is 64.

The spelling of 10767779776 in words is "ten billion, seven hundred sixty-seven million, seven hundred seventy-nine thousand, seven hundred seventy-six".