32254421760 has 864 divisors, whose sum is σ = 128795546880. Its totient is φ = 7380172800.

The previous prime is 32254421743. The next prime is 32254421779. The reversal of 32254421760 is 6712445223.

32254421760 is a `hidden beast` number, since 3 + 22 + 544 + 21 + 76 + 0 = 666.

It is a super-2 number, since 2×32254421760² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246216895 + ... + 246217025.

It is an arithmetic number, because the mean of its divisors is an integer number (149068920).

Almost surely, 2^32254421760 is an apocalyptic number.

32254421760 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 32254421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64397773440).

32254421760 is an abundant number, since it is smaller than the sum of its proper divisors (96541125120).

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

32254421760 is a wasteful number, since it uses less digits than its factorization.

32254421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 32254421760 its reverse (6712445223), we get a palindrome (38966866983).

The spelling of 32254421760 in words is "thirty-two billion, two hundred fifty-four million, four hundred twenty-one thousand, seven hundred sixty".