11672304768 has 224 divisors, whose sum is σ = 35403494160. Its totient is φ = 3830644224.

The previous prime is 11672304767. The next prime is 11672304769. The reversal of 11672304768 is 86740327611.

11672304768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11672304767) and next prime (11672304769).

It is not an unprimeable number, because it can be changed into a prime (11672304767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6250971 + ... + 6252837.

Almost surely, 2^11672304768 is an apocalyptic number.

11672304768 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 11672304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701747080).

11672304768 is an abundant number, since it is smaller than the sum of its proper divisors (23731189392).

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

11672304768 is an frugal number, since it uses more digits than its factorization.

11672304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11672304768 in words is "eleven billion, six hundred seventy-two million, three hundred four thousand, seven hundred sixty-eight".