36996384386304 has 288 divisors, whose sum is σ = 125242218689280. Its totient is φ = 10552799232000.

The previous prime is 36996384386293. The next prime is 36996384386327. The reversal of 36996384386304 is 40368348369963.

36996384386304 is a `hidden beast` number, since 369 + 96 + 38 + 43 + 86 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28442644 + ... + 29714924.

Almost surely, 2^{36996384386304} 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 36996384386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62621109344640).

36996384386304 is an abundant number, since it is smaller than the sum of its proper divisors (88245834302976).

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

36996384386304 is a wasteful number, since it uses less digits than its factorization.

36996384386304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272914 (or 1272894 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 72.

The spelling of 36996384386304 in words is "thirty-six trillion, nine hundred ninety-six billion, three hundred eighty-four million, three hundred eighty-six thousand, three hundred four".