32661623016 has 192 divisors, whose sum is σ = 99411137280. Its totient is φ = 9600560640.

The previous prime is 32661623009. The next prime is 32661623051. The reversal of 32661623016 is 61032616623.

32661623016 is a `hidden beast` number, since 3 + 2 + 6 + 616 + 2 + 30 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10753050 + ... + 10756086.

It is an arithmetic number, because the mean of its divisors is an integer number (517766340).

Almost surely, 2^32661623016 is an apocalyptic number.

32661623016 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 32661623016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49705568640).

32661623016 is an abundant number, since it is smaller than the sum of its proper divisors (66749514264).

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

32661623016 is a wasteful number, since it uses less digits than its factorization.

32661623016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 32661623016 in words is "thirty-two billion, six hundred sixty-one million, six hundred twenty-three thousand, sixteen".