32964638616 has 384 divisors, whose sum is σ = 114172007040. Its totient is φ = 8365731840.

The previous prime is 32964638599. The next prime is 32964638659. The reversal of 32964638616 is 61683646923.

32964638616 is a `hidden beast` number, since 3 + 2 + 96 + 463 + 86 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451570356 + ... + 451570428.

It is an arithmetic number, because the mean of its divisors is an integer number (297322935).

Almost surely, 2^32964638616 is an apocalyptic number.

32964638616 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 32964638616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57086003520).

32964638616 is an abundant number, since it is smaller than the sum of its proper divisors (81207368424).

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

32964638616 is a wasteful number, since it uses less digits than its factorization.

32964638616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 139 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 32964638616 in words is "thirty-two billion, nine hundred sixty-four million, six hundred thirty-eight thousand, six hundred sixteen".