32256728064 has 528 divisors, whose sum is σ = 111005698560. Its totient is φ = 9174712320.

The previous prime is 32256728059. The next prime is 32256728087. The reversal of 32256728064 is 46082765223.

32256728064 is a `hidden beast` number, since 3 + 2 + 2 + 567 + 2 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87892809 + ... + 87893175.

Almost surely, 2^32256728064 is an apocalyptic number.

32256728064 is a gapful number since it is divisible by the number (34) 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 32256728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55502849280).

32256728064 is an abundant number, since it is smaller than the sum of its proper divisors (78748970496).

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

32256728064 is a wasteful number, since it uses less digits than its factorization.

32256728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 32256728064 in words is "thirty-two billion, two hundred fifty-six million, seven hundred twenty-eight thousand, sixty-four".