866738079936 has 224 divisors, whose sum is σ = 2590272696000. Its totient is φ = 284164153344.

The previous prime is 866738079877. The next prime is 866738079937. The reversal of 866738079936 is 639970837668.

It is a super-3 number, since 3×866738079936³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (866738079937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25787430 + ... + 25821018.

Almost surely, 2^866738079936 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 866738079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295136348000).

866738079936 is an abundant number, since it is smaller than the sum of its proper divisors (1723534616064).

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

866738079936 is a wasteful number, since it uses less digits than its factorization.

866738079936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33856 (or 33840 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 866738079936 in words is "eight hundred sixty-six billion, seven hundred thirty-eight million, seventy-nine thousand, nine hundred thirty-six".