32288481804960 has 336 divisors, whose sum is σ = 116077030939296. Its totient is φ = 8481748391424.

The previous prime is 32288481804941. The next prime is 32288481804979. The reversal of 32288481804960 is 6940818488223.

32288481804960 is a `hidden beast` number, since 3 + 2 + 28 + 8 + 48 + 1 + 80 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32288481804941) and next prime (32288481804979).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5749047 + ... + 9880713.

It is an arithmetic number, because the mean of its divisors is an integer number (345467353986).

Almost surely, 2^{32288481804960} is an apocalyptic number.

32288481804960 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 32288481804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58038515469648).

32288481804960 is an abundant number, since it is smaller than the sum of its proper divisors (83788549134336).

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

32288481804960 is an equidigital number, since it uses as much as digits as its factorization.

32288481804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131767 (or 4131744 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 32288481804960 in words is "thirty-two trillion, two hundred eighty-eight billion, four hundred eighty-one million, eight hundred four thousand, nine hundred sixty".