36066567600 has 1440 divisors, whose sum is σ = 167223225600. Its totient is φ = 7315660800.

The previous prime is 36066567587. The next prime is 36066567611. The reversal of 36066567600 is 676566063.

It is a happy number.

36066567600 is a `hidden beast` number, since 36 + 0 + 6 + 6 + 5 + 6 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170931495 + ... + 170931705.

It is an arithmetic number, because the mean of its divisors is an integer number (116127240).

Almost surely, 2^36066567600 is an apocalyptic number.

36066567600 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 36066567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83611612800).

36066567600 is an abundant number, since it is smaller than the sum of its proper divisors (131156658000).

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

36066567600 is a wasteful number, since it uses less digits than its factorization.

36066567600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36066567600 in words is "thirty-six billion, sixty-six million, five hundred sixty-seven thousand, six hundred".