32916103680 has 320 divisors, whose sum is σ = 108026835840. Its totient is φ = 8546942976.

The previous prime is 32916103673. The next prime is 32916103687. The reversal of 32916103680 is 8630161923.

It is an interprime number because it is at equal distance from previous prime (32916103673) and next prime (32916103687).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (32916103687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78558511 + ... + 78558929.

It is an arithmetic number, because the mean of its divisors is an integer number (337583862).

Almost surely, 2^32916103680 is an apocalyptic number.

32916103680 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 32916103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54013417920).

32916103680 is an abundant number, since it is smaller than the sum of its proper divisors (75110732160).

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

32916103680 is a wasteful number, since it uses less digits than its factorization.

32916103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 32916103680 in words is "thirty-two billion, nine hundred sixteen million, one hundred three thousand, six hundred eighty".