36866617656 has 256 divisors, whose sum is σ = 108928696320. Its totient is φ = 10273536000.

The previous prime is 36866617649. The next prime is 36866617657. The reversal of 36866617656 is 65671666863.

36866617656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36866617656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36866617657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40467841 + ... + 40468751.

It is an arithmetic number, because the mean of its divisors is an integer number (425502720).

Almost surely, 2^36866617656 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 36866617656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54464348160).

36866617656 is an abundant number, since it is smaller than the sum of its proper divisors (72062078664).

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

36866617656 is a wasteful number, since it uses less digits than its factorization.

36866617656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 60.

The spelling of 36866617656 in words is "thirty-six billion, eight hundred sixty-six million, six hundred seventeen thousand, six hundred fifty-six".