36219316040320 has 256 divisors, whose sum is σ = 99269533440000. Its totient is φ = 12378808406016.

The previous prime is 36219316040317. The next prime is 36219316040321. The reversal of 36219316040320 is 2304061391263.

36219316040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (36219316040321) 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 31 ways as a sum of consecutive naturals, for example, 2027607709 + ... + 2027625571.

It is an arithmetic number, because the mean of its divisors is an integer number (387771615000).

Almost surely, 2^{36219316040320} 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 36219316040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49634766720000).

36219316040320 is an abundant number, since it is smaller than the sum of its proper divisors (63050217399680).

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

36219316040320 is a wasteful number, since it uses less digits than its factorization.

36219316040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19295 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 36219316040320 in words is "thirty-six trillion, two hundred nineteen billion, three hundred sixteen million, forty thousand, three hundred twenty".