11065742064 has 120 divisors (see below), whose sum is σ = 33491814720. Its totient is φ = 3390460416.

The previous prime is 11065742059. The next prime is 11065742069. The reversal of 11065742064 is 46024756011.

11065742064 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 574 + 20 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (11065742059) and next prime (11065742069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11065742069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435042 + ... + 459774.

It is an arithmetic number, because the mean of its divisors is an integer number (279098456).

Almost surely, 2^11065742064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11065742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745907360).

11065742064 is an abundant number, since it is smaller than the sum of its proper divisors (22426072656).

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

11065742064 is a wasteful number, since it uses less digits than its factorization.

11065742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24999 (or 24990 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11065742064 in words is "eleven billion, sixty-five million, seven hundred forty-two thousand, sixty-four".