11067936768 has 624 divisors, whose sum is σ = 41093919360. Its totient is φ = 2873622528.

The previous prime is 11067936767. The next prime is 11067936779. The reversal of 11067936768 is 86763976011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11067936767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381652978 + ... + 381653006.

It is an arithmetic number, because the mean of its divisors is an integer number (65855640).

Almost surely, 2^11067936768 is an apocalyptic number.

11067936768 is a gapful number since it is divisible by the number (18) 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 11067936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546959680).

11067936768 is an abundant number, since it is smaller than the sum of its proper divisors (30025982592).

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

11067936768 is an equidigital number, since it uses as much as digits as its factorization.

11067936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11067936768 in words is "eleven billion, sixty-seven million, nine hundred thirty-six thousand, seven hundred sixty-eight".