32280633216 has 672 divisors, whose sum is σ = 110170465200. Its totient is φ = 9393905664.

The previous prime is 32280633211. The next prime is 32280633221. The reversal of 32280633216 is 61233608223.

It is a happy number.

32280633216 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 0 + 633 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (32280633211) and next prime (32280633221).

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 (32280633211) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 362703700 + ... + 362703788.

Almost surely, 2^32280633216 is an apocalyptic number.

32280633216 is a gapful number since it is divisible by the number (36) 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 32280633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085232600).

32280633216 is an abundant number, since it is smaller than the sum of its proper divisors (77889831984).

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

32280633216 is an equidigital number, since it uses as much as digits as its factorization.

32280633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 32280633216 in words is "thirty-two billion, two hundred eighty million, six hundred thirty-three thousand, two hundred sixteen".