32609418816 has 224 divisors, whose sum is σ = 96583008256. Its totient is φ = 9642240000.

The previous prime is 32609418769. The next prime is 32609418859. The reversal of 32609418816 is 61881490623.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11682381 + ... + 11685171.

It is an arithmetic number, because the mean of its divisors is an integer number (431174144).

Almost surely, 2^32609418816 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 32609418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48291504128).

32609418816 is an abundant number, since it is smaller than the sum of its proper divisors (63973589440).

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

32609418816 is a wasteful number, since it uses less digits than its factorization.

32609418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 32609418816 in words is "thirty-two billion, six hundred nine million, four hundred eighteen thousand, eight hundred sixteen".