63329322420 has 1152 divisors, whose sum is σ = 269277281280. Its totient is φ = 11983749120.

The previous prime is 63329322367. The next prime is 63329322421. The reversal of 63329322420 is 2422392336.

It is a happy number.

63329322420 is a `hidden beast` number, since 6 + 3 + 329 + 322 + 4 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63329322421) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1472774919 + ... + 1472774961.

It is an arithmetic number, because the mean of its divisors is an integer number (233747640).

Almost surely, 2^63329322420 is an apocalyptic number.

63329322420 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 63329322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134638640640).

63329322420 is an abundant number, since it is smaller than the sum of its proper divisors (205947958860).

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

63329322420 is a wasteful number, since it uses less digits than its factorization.

63329322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 63329322420 in words is "sixty-three billion, three hundred twenty-nine million, three hundred twenty-two thousand, four hundred twenty".