36542801600648 has 256 divisors, whose sum is σ = 86801018342400. Its totient is φ = 14066134548480.

The previous prime is 36542801600629. The next prime is 36542801600653. The reversal of 36542801600648 is 84600610824563.

It is a self number, because there is not a number n which added to its sum of digits gives 36542801600648.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 482636618 + ... + 482712326.

It is an arithmetic number, because the mean of its divisors is an integer number (339066477900).

Almost surely, 2^{36542801600648} 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 36542801600648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400509171200).

36542801600648 is an abundant number, since it is smaller than the sum of its proper divisors (50258216741752).

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

36542801600648 is a wasteful number, since it uses less digits than its factorization.

36542801600648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76040 (or 76036 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 36542801600648 in words is "thirty-six trillion, five hundred forty-two billion, eight hundred one million, six hundred thousand, six hundred forty-eight".