36416422889280 has 1344 divisors, whose sum is σ = 151107842096640. Its totient is φ = 7874122088448.

The previous prime is 36416422889261. The next prime is 36416422889281. The reversal of 36416422889280 is 8298822461463.

36416422889280 is a `hidden beast` number, since 3 + 6 + 41 + 6 + 422 + 8 + 8 + 92 + 80 = 666.

36416422889280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36416422889281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7559977432 + ... + 7559982248.

Almost surely, 2^{36416422889280} is an apocalyptic number.

36416422889280 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 36416422889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75553921048320).

36416422889280 is an abundant number, since it is smaller than the sum of its proper divisors (114691419207360).

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

36416422889280 is a wasteful number, since it uses less digits than its factorization.

36416422889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 36416422889280 in words is "thirty-six trillion, four hundred sixteen billion, four hundred twenty-two million, eight hundred eighty-nine thousand, two hundred eighty".