36082313568 has 384 divisors, whose sum is σ = 124141731840. Its totient is φ = 9980651520.

The previous prime is 36082313563. The next prime is 36082313573. The reversal of 36082313568 is 86531328063.

36082313568 is a `hidden beast` number, since 3 + 6 + 0 + 82 + 3 + 1 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (36082313563) and next prime (36082313573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36082313563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85705998 + ... + 85706418.

It is an arithmetic number, because the mean of its divisors is an integer number (323285760).

Almost surely, 2^36082313568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36082313568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62070865920).

36082313568 is an abundant number, since it is smaller than the sum of its proper divisors (88059418272).

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

36082313568 is a wasteful number, since it uses less digits than its factorization.

36082313568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 36082313568 in words is "thirty-six billion, eighty-two million, three hundred thirteen thousand, five hundred sixty-eight".