36945546066 has 128 divisors (see below), whose sum is σ = 97393121280. Its totient is φ = 10233864000.

The previous prime is 36945545983. The next prime is 36945546067. The reversal of 36945546066 is 66064554963.

36945546066 is a `hidden beast` number, since 3 + 6 + 94 + 5 + 546 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×36945546066² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36945546067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772141 + ... + 818591.

It is an arithmetic number, because the mean of its divisors is an integer number (760883760).

Almost surely, 2^36945546066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36945546066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48696560640).

36945546066 is an abundant number, since it is smaller than the sum of its proper divisors (60447575214).

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

36945546066 is a wasteful number, since it uses less digits than its factorization.

36945546066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46589 (or 46583 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 36945546066 in words is "thirty-six billion, nine hundred forty-five million, five hundred forty-six thousand, sixty-six".