36201626000 has 80 divisors (see below), whose sum is σ = 87609111408. Its totient is φ = 14468480000.

The previous prime is 36201625963. The next prime is 36201626009. The reversal of 36201626000 is 62610263.

It can be written as a sum of positive squares in 8 ways, for example, as 22389735424 + 13811890576 = 149632^2 + 117524^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36201626009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595044 + ... + 2608956.

Almost surely, 2^36201626000 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 36201626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804555704).

36201626000 is an abundant number, since it is smaller than the sum of its proper divisors (51407485408).

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

36201626000 is a wasteful number, since it uses less digits than its factorization.

36201626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15237 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 36201626000 in words is "thirty-six billion, two hundred one million, six hundred twenty-six thousand".