36432241378800 has 240 divisors, whose sum is σ = 119941156548480. Its totient is φ = 9446193976320.

The previous prime is 36432241378747. The next prime is 36432241378847. The reversal of 36432241378800 is 887314223463.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 64498399 + ... + 65060801.

It is an arithmetic number, because the mean of its divisors is an integer number (499754818952).

Almost surely, 2^{36432241378800} is an apocalyptic number.

36432241378800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36432241378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59970578274240).

36432241378800 is an abundant number, since it is smaller than the sum of its proper divisors (83508915169680).

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

36432241378800 is a wasteful number, since it uses less digits than its factorization.

36432241378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563920 (or 563909 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 36432241378800 in words is "thirty-six trillion, four hundred thirty-two billion, two hundred forty-one million, three hundred seventy-eight thousand, eight hundred".