36068262912 has 528 divisors, whose sum is σ = 122623488000. Its totient is φ = 10097049600.

The previous prime is 36068262911. The next prime is 36068262917. The reversal of 36068262912 is 21926286063.

36068262912 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 8 + 2 + 629 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (36068262911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72280839 + ... + 72281337.

Almost surely, 2^36068262912 is an apocalyptic number.

36068262912 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 36068262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61311744000).

36068262912 is an abundant number, since it is smaller than the sum of its proper divisors (86555225088).

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

36068262912 is a wasteful number, since it uses less digits than its factorization.

36068262912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 36068262912 in words is "thirty-six billion, sixty-eight million, two hundred sixty-two thousand, nine hundred twelve".