11664827742440 has 64 divisors (see below), whose sum is σ = 26742718892160. Its totient is φ = 4577611933440.

The previous prime is 11664827742431. The next prime is 11664827742487. The reversal of 11664827742440 is 4424772846611.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35978255 + ... + 36301025.

It is an arithmetic number, because the mean of its divisors is an integer number (417854982690).

Almost surely, 2^{11664827742440} is an apocalyptic number.

11664827742440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664827742440 is an abundant number, since it is smaller than the sum of its proper divisors (15077891149720).

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

11664827742440 is a wasteful number, since it uses less digits than its factorization.

11664827742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339882 (or 339878 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 56.

The spelling of 11664827742440 in words is "eleven trillion, six hundred sixty-four billion, eight hundred twenty-seven million, seven hundred forty-two thousand, four hundred forty".