11064782267640 has 192 divisors, whose sum is σ = 36623342340000. Its totient is φ = 2896418995200.

The previous prime is 11064782267639. The next prime is 11064782267681. The reversal of 11064782267640 is 4676228746011.

11064782267640 is a `hidden beast` number, since 1 + 106 + 478 + 2 + 2 + 6 + 7 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10453170 + ... + 11462910.

Almost surely, 2^{11064782267640} is an apocalyptic number.

11064782267640 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 11064782267640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311671170000).

11064782267640 is an abundant number, since it is smaller than the sum of its proper divisors (25558560072360).

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

11064782267640 is a wasteful number, since it uses less digits than its factorization.

11064782267640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010318 (or 1010311 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 11064782267640 in words is "eleven trillion, sixty-four billion, seven hundred eighty-two million, two hundred sixty-seven thousand, six hundred forty".