36483681484800 has 1980 divisors, whose sum is σ = 150657585375528. Its totient is φ = 8719958016000.

The previous prime is 36483681484769. The next prime is 36483681484823. The reversal of 36483681484800 is 848418638463.

36483681484800 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 3 + 6 + 8 + 148 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 513854668765 + ... + 513854668835.

Almost surely, 2^{36483681484800} is an apocalyptic number.

36483681484800 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 36483681484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75328792687764).

36483681484800 is an abundant number, since it is smaller than the sum of its proper divisors (114173903890728).

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

36483681484800 is an frugal number, since it uses more digits than its factorization.

36483681484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 36483681484800 in words is "thirty-six trillion, four hundred eighty-three billion, six hundred eighty-one million, four hundred eighty-four thousand, eight hundred".