36066213608832 has 256 divisors, whose sum is σ = 116541526694400. Its totient is φ = 10889697024000.

The previous prime is 36066213608819. The next prime is 36066213608833. The reversal of 36066213608832 is 23880631266063.

36066213608832 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 6 + 21 + 3 + 608 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36066213608833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8817957 + ... + 12242907.

It is an arithmetic number, because the mean of its divisors is an integer number (455240338650).

Almost surely, 2^{36066213608832} is an apocalyptic number.

36066213608832 is a gapful number since it is divisible by the number (32) 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 36066213608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58270763347200).

36066213608832 is an abundant number, since it is smaller than the sum of its proper divisors (80475313085568).

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

36066213608832 is a wasteful number, since it uses less digits than its factorization.

36066213608832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425262 (or 3425244 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 36066213608832 in words is "thirty-six trillion, sixty-six billion, two hundred thirteen million, six hundred eight thousand, eight hundred thirty-two".