11672317440 has 600 divisors, whose sum is σ = 47382634728. Its totient is φ = 2655313920.

The previous prime is 11672317379. The next prime is 11672317457. The reversal of 11672317440 is 4471327611.

11672317440 is a `hidden beast` number, since 116 + 72 + 31 + 7 + 440 = 666.

11672317440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11672317395 and 11672317404.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 55318935 + ... + 55319145.

Almost surely, 2^11672317440 is an apocalyptic number.

11672317440 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 11672317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23691317364).

11672317440 is an abundant number, since it is smaller than the sum of its proper divisors (35710317288).

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

11672317440 is an frugal number, since it uses more digits than its factorization.

11672317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11672317440 in words is "eleven billion, six hundred seventy-two million, three hundred seventeen thousand, four hundred forty".