32820828733440 has 768 divisors, whose sum is σ = 131422823663040. Its totient is φ = 7488468418560.

The previous prime is 32820828733387. The next prime is 32820828733487. The reversal of 32820828733440 is 4433782802823.

32820828733440 is a `hidden beast` number, since 3 + 2 + 8 + 20 + 8 + 287 + 334 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275683207 + ... + 275802233.

Almost surely, 2^{32820828733440} is an apocalyptic number.

32820828733440 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 32820828733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65711411831520).

32820828733440 is an abundant number, since it is smaller than the sum of its proper divisors (98601994929600).

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

32820828733440 is a wasteful number, since it uses less digits than its factorization.

32820828733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119096 (or 119065 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 32820828733440 in words is "thirty-two trillion, eight hundred twenty billion, eight hundred twenty-eight million, seven hundred thirty-three thousand, four hundred forty".