36561603066030 has 320 divisors, whose sum is σ = 112591397761920. Its totient is φ = 8339327778816.

The previous prime is 36561603065993. The next prime is 36561603066059. The reversal of 36561603066030 is 3066030616563.

36561603066030 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 1 + 6 + 0 + 30 + 6 + 603 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7850889462 + ... + 7850894118.

It is an arithmetic number, because the mean of its divisors is an integer number (351848118006).

Almost surely, 2^{36561603066030} is an apocalyptic number.

36561603066030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36561603066030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56295698880960).

36561603066030 is an abundant number, since it is smaller than the sum of its proper divisors (76029794695890).

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

36561603066030 is a wasteful number, since it uses less digits than its factorization.

36561603066030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 36561603066030 in words is "thirty-six trillion, five hundred sixty-one billion, six hundred three million, sixty-six thousand, thirty".