32229464960 has 768 divisors, whose sum is σ = 106778234880. Its totient is φ = 9024307200.

The previous prime is 32229464957. The next prime is 32229464999. The reversal of 32229464960 is 6946492223.

It is a congruent number.

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, 441499484 + ... + 441499556.

It is an arithmetic number, because the mean of its divisors is an integer number (139034160).

Almost surely, 2^32229464960 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 32229464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53389117440).

32229464960 is an abundant number, since it is smaller than the sum of its proper divisors (74548769920).

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

32229464960 is a wasteful number, since it uses less digits than its factorization.

32229464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 32229464960 in words is "thirty-two billion, two hundred twenty-nine million, four hundred sixty-four thousand, nine hundred sixty".