33027507648 has 140 divisors (see below), whose sum is σ = 97991056240. Its totient is φ = 10999369728.

The previous prime is 33027507641. The next prime is 33027507679. The reversal of 33027507648 is 84670572033.

33027507648 is a `hidden beast` number, since 330 + 275 + 0 + 7 + 6 + 48 = 666.

It is a super-2 number, since 2×33027507648² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33027507641) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7996848 + ... + 8000976.

It is an arithmetic number, because the mean of its divisors is an integer number (699936116).

Almost surely, 2^33027507648 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 33027507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48995528120).

33027507648 is an abundant number, since it is smaller than the sum of its proper divisors (64963548592).

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

33027507648 is a wasteful number, since it uses less digits than its factorization.

33027507648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 33027507648 in words is "thirty-three billion, twenty-seven million, five hundred seven thousand, six hundred forty-eight".