36864706045440 has 1280 divisors, whose sum is σ = 157328650321920. Its totient is φ = 7141872107520.

The previous prime is 36864706045373. The next prime is 36864706045451. The reversal of 36864706045440 is 4454060746863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487081521 + ... + 487157199.

It is an arithmetic number, because the mean of its divisors is an integer number (122913008064).

Almost surely, 2^{36864706045440} is an apocalyptic number.

36864706045440 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 36864706045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78664325160960).

36864706045440 is an abundant number, since it is smaller than the sum of its proper divisors (120463944276480).

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

36864706045440 is a wasteful number, since it uses less digits than its factorization.

36864706045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75783 (or 75767 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 36864706045440 in words is "thirty-six trillion, eight hundred sixty-four billion, seven hundred six million, forty-five thousand, four hundred forty".