866666040600 has 384 divisors, whose sum is σ = 2876150914560. Its totient is φ = 215359119360.

The previous prime is 866666040533. The next prime is 866666040649. The reversal of 866666040600 is 6040666668.

It is a Cunningham number, because it is equal to 930949²-1.

It is a super-2 number, since 2×866666040600² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 866666040600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256940514 + ... + 256943886.

It is an arithmetic number, because the mean of its divisors is an integer number (7489976340).

Almost surely, 2^866666040600 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 866666040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438075457280).

866666040600 is an abundant number, since it is smaller than the sum of its proper divisors (2009484873960).

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

866666040600 is a wasteful number, since it uses less digits than its factorization.

866666040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 866666040600 in words is "eight hundred sixty-six billion, six hundred sixty-six million, forty thousand, six hundred".