32775057216 has 280 divisors, whose sum is σ = 106349474880. Its totient is φ = 9897984000.

The previous prime is 32775057191. The next prime is 32775057229. The reversal of 32775057216 is 61275057723.

32775057216 is a `hidden beast` number, since 3 + 2 + 7 + 75 + 0 + 572 + 1 + 6 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 20470816 + ... + 20472416.

Almost surely, 2^32775057216 is an apocalyptic number.

32775057216 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 32775057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53174737440).

32775057216 is an abundant number, since it is smaller than the sum of its proper divisors (73574417664).

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

32775057216 is a wasteful number, since it uses less digits than its factorization.

32775057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 32775057216 in words is "thirty-two billion, seven hundred seventy-five million, fifty-seven thousand, two hundred sixteen".