36666606516144 has 640 divisors, whose sum is σ = 114796382561280. Its totient is φ = 9953633894400.

The previous prime is 36666606516103. The next prime is 36666606516233. The reversal of 36666606516144 is 44161560666663.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11688428944 + ... + 11688432080.

It is an arithmetic number, because the mean of its divisors is an integer number (179369347752).

Almost surely, 2^{36666606516144} is an apocalyptic number.

36666606516144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36666606516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57398191280640).

36666606516144 is an abundant number, since it is smaller than the sum of its proper divisors (78129776045136).

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

36666606516144 is a wasteful number, since it uses less digits than its factorization.

36666606516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 36666606516144 in words is "thirty-six trillion, six hundred sixty-six billion, six hundred six million, five hundred sixteen thousand, one hundred forty-four".