63365322356336 has 320 divisors, whose sum is σ = 171139622363136. Its totient is φ = 21926099865600.

The previous prime is 63365322356327. The next prime is 63365322356467.

63365322356336 is nontrivially palindromic in base 10.

63365322356336 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 (56).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 85524950 + ... + 86262666.

Almost surely, 2^{63365322356336} 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 63365322356336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85569811181568).

63365322356336 is an abundant number, since it is smaller than the sum of its proper divisors (107774300006800).

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

63365322356336 is a wasteful number, since it uses less digits than its factorization.

63365322356336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737960 (or 737954 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 56.

The spelling of 63365322356336 in words is "sixty-three trillion, three hundred sixty-five billion, three hundred twenty-two million, three hundred fifty-six thousand, three hundred thirty-six".