33272160768 has 480 divisors, whose sum is σ = 121337948160. Its totient is φ = 8525537280.

The previous prime is 33272160743. The next prime is 33272160773. The reversal of 33272160768 is 86706127233.

33272160768 is a `hidden beast` number, since 3 + 32 + 7 + 2 + 1 + 607 + 6 + 8 = 666.

It is a super-2 number, since 2×33272160768² (a number of 22 digits) contains 22 as substring.

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, 28029871 + ... + 28031057.

It is an arithmetic number, because the mean of its divisors is an integer number (252787392).

Almost surely, 2^33272160768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33272160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60668974080).

33272160768 is an abundant number, since it is smaller than the sum of its proper divisors (88065787392).

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

33272160768 is a wasteful number, since it uses less digits than its factorization.

33272160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 33272160768 in words is "thirty-three billion, two hundred seventy-two million, one hundred sixty thousand, seven hundred sixty-eight".