36706080768 has 192 divisors, whose sum is σ = 112095809280. Its totient is φ = 10463379456.

The previous prime is 36706080683. The next prime is 36706080781. The reversal of 36706080768 is 86708060763.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 36706080768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28083571 + ... + 28084877.

It is an arithmetic number, because the mean of its divisors is an integer number (583832340).

Almost surely, 2^36706080768 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 36706080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56047904640).

36706080768 is an abundant number, since it is smaller than the sum of its proper divisors (75389728512).

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

36706080768 is a wasteful number, since it uses less digits than its factorization.

36706080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 36706080768 in words is "thirty-six billion, seven hundred six million, eighty thousand, seven hundred sixty-eight".