63164344320 has 1920 divisors, whose sum is σ = 301387806720. Its totient is φ = 12262440960.

The previous prime is 63164344291. The next prime is 63164344337. The reversal of 63164344320 is 2344346136.

63164344320 is a `hidden beast` number, since 6 + 3 + 1 + 643 + 4 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1468938219 + ... + 1468938261.

It is an arithmetic number, because the mean of its divisors is an integer number (156972816).

Almost surely, 2^63164344320 is an apocalyptic number.

63164344320 is a gapful number since it is divisible by the number (60) 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 63164344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150693903360).

63164344320 is an abundant number, since it is smaller than the sum of its proper divisors (238223462400).

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

63164344320 is a wasteful number, since it uses less digits than its factorization.

63164344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 63164344320 in words is "sixty-three billion, one hundred sixty-four million, three hundred forty-four thousand, three hundred twenty".