866763548305632 has 288 divisors, whose sum is σ = 2596772929121280. Its totient is φ = 273889255495680.

The previous prime is 866763548305621. The next prime is 866763548305703. The reversal of 866763548305632 is 236503845367668.

866763548305632 is a `hidden beast` number, since 8 + 6 + 6 + 7 + 6 + 3 + 54 + 8 + 3 + 0 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×866763548305632³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 103025988 + ... + 111121020.

It is an arithmetic number, because the mean of its divisors is an integer number (9016572670560).

Almost surely, 2^{866763548305632} 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 866763548305632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298386464560640).

866763548305632 is an abundant number, since it is smaller than the sum of its proper divisors (1730009380815648).

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

866763548305632 is a wasteful number, since it uses less digits than its factorization.

866763548305632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095326 (or 8095315 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 72.

The spelling of 866763548305632 in words is "eight hundred sixty-six trillion, seven hundred sixty-three billion, five hundred forty-eight million, three hundred five thousand, six hundred thirty-two".