36006706000 has 80 divisors (see below), whose sum is σ = 87312567888. Its totient is φ = 14361600000.

The previous prime is 36006705989. The next prime is 36006706039. The reversal of 36006706000 is 60760063.

It can be written as a sum of positive squares in 8 ways, for example, as 7908900624 + 28097805376 = 88932^2 + 167624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×36006706000³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36006706000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680500 + ... + 731500.

Almost surely, 2^36006706000 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 36006706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43656283944).

36006706000 is an abundant number, since it is smaller than the sum of its proper divisors (51305861888).

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

36006706000 is a wasteful number, since it uses less digits than its factorization.

36006706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51377 (or 51361 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 36006706000 in words is "thirty-six billion, six million, seven hundred six thousand".