36206666497800 has 576 divisors, whose sum is σ = 134288756160000. Its totient is φ = 8706756096000.

The previous prime is 36206666497783. The next prime is 36206666497811. The reversal of 36206666497800 is 879466660263.

36206666497800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64392276 + ... + 64952124.

Almost surely, 2^{36206666497800} is an apocalyptic number.

36206666497800 is a gapful number since it is divisible by the number (30) 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 36206666497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67144378080000).

36206666497800 is an abundant number, since it is smaller than the sum of its proper divisors (98082089662200).

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

36206666497800 is a wasteful number, since it uses less digits than its factorization.

36206666497800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559982 (or 559970 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 36206666497800 in words is "thirty-six trillion, two hundred six billion, six hundred sixty-six million, four hundred ninety-seven thousand, eight hundred".