11642706000 has 480 divisors, whose sum is σ = 43605244800. Its totient is φ = 2886451200.

The previous prime is 11642705959. The next prime is 11642706011. The reversal of 11642706000 is 60724611.

11642706000 is a `hidden beast` number, since 1 + 16 + 42 + 7 + 0 + 600 + 0 = 666.

11642706000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 20177712 + ... + 20178288.

It is an arithmetic number, because the mean of its divisors is an integer number (90844260).

Almost surely, 2^11642706000 is an apocalyptic number.

11642706000 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 11642706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802622400).

11642706000 is an abundant number, since it is smaller than the sum of its proper divisors (31962538800).

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

11642706000 is a wasteful number, since it uses less digits than its factorization.

11642706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11642706000 in words is "eleven billion, six hundred forty-two million, seven hundred six thousand".