11674736766 has 192 divisors, whose sum is σ = 33096625920. Its totient is φ = 3016440000.

The previous prime is 11674736761. The next prime is 11674736771. The reversal of 11674736766 is 66763747611.

11674736766 is a `hidden beast` number, since 1 + 167 + 473 + 6 + 7 + 6 + 6 = 666.

11674736766 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11674736761) and next prime (11674736771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11674736761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6140416 + ... + 6142316.

It is an arithmetic number, because the mean of its divisors is an integer number (172378260).

Almost surely, 2^11674736766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11674736766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548312960).

11674736766 is an abundant number, since it is smaller than the sum of its proper divisors (21421889154).

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

11674736766 is a wasteful number, since it uses less digits than its factorization.

11674736766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2135 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 11674736766 in words is "eleven billion, six hundred seventy-four million, seven hundred thirty-six thousand, seven hundred sixty-six".