32421226320 has 960 divisors, whose sum is σ = 141554511360. Its totient is φ = 6772211712.

The previous prime is 32421226273. The next prime is 32421226339. The reversal of 32421226320 is 2362212423.

It is a happy number.

32421226320 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 1 + 22 + 632 + 0 = 666.

It is a super-2 number, since 2×32421226320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66573117 + ... + 66573603.

It is an arithmetic number, because the mean of its divisors is an integer number (147452616).

Almost surely, 2^32421226320 is an apocalyptic number.

32421226320 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 32421226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70777255680).

32421226320 is an abundant number, since it is smaller than the sum of its proper divisors (109133285040).

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

32421226320 is a wasteful number, since it uses less digits than its factorization.

32421226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32421226320 its reverse (2362212423), we get a palindrome (34783438743).

The spelling of 32421226320 in words is "thirty-two billion, four hundred twenty-one million, two hundred twenty-six thousand, three hundred twenty".