11067736680 has 384 divisors, whose sum is σ = 48297150720. Its totient is φ = 2122813440.

The previous prime is 11067736679. The next prime is 11067736681. The reversal of 11067736680 is 8663776011.

It is an interprime number because it is at equal distance from previous prime (11067736679) and next prime (11067736681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11067736681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345004 + ... + 375716.

It is an arithmetic number, because the mean of its divisors is an integer number (125773830).

Almost surely, 2^11067736680 is an apocalyptic number.

11067736680 is a gapful number since it is divisible by the number (10) 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 11067736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24148575360).

11067736680 is an abundant number, since it is smaller than the sum of its proper divisors (37229414040).

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

11067736680 is a wasteful number, since it uses less digits than its factorization.

11067736680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30761 (or 30754 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 11067 and 736680, that added together give a palindrome (747747).

The spelling of 11067736680 in words is "eleven billion, sixty-seven million, seven hundred thirty-six thousand, six hundred eighty".