32775684480 has 2304 divisors, whose sum is σ = 164563176960. Its totient is φ = 6131220480.

The previous prime is 32775684451. The next prime is 32775684517. The reversal of 32775684480 is 8448657723.

32775684480 is a `hidden beast` number, since 3 + 2 + 77 + 568 + 4 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 1425029749 + ... + 1425029771.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 2^32775684480 is an apocalyptic number.

32775684480 is a gapful number since it is divisible by the number (30) 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 32775684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281588480).

32775684480 is an abundant number, since it is smaller than the sum of its proper divisors (131787492480).

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

32775684480 is a wasteful number, since it uses less digits than its factorization.

32775684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 32775684480 in words is "thirty-two billion, seven hundred seventy-five million, six hundred eighty-four thousand, four hundred eighty".