36666007200 has 108 divisors (see below), whose sum is σ = 129293533278. Its totient is φ = 9777600000.

The previous prime is 36666007199. The next prime is 36666007223. The reversal of 36666007200 is 270066663.

It can be written as a sum of positive squares in 3 ways, for example, as 16366596624 + 20299410576 = 127932^2 + 142476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 2539051 + ... + 2553450.

Almost surely, 2^36666007200 is an apocalyptic number.

36666007200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36666007200 is an abundant number, since it is smaller than the sum of its proper divisors (92627526078).

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

36666007200 is a wasteful number, since it uses less digits than its factorization.

36666007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092527 (or 5092511 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 36666007200 in words is "thirty-six billion, six hundred sixty-six million, seven thousand, two hundred".