33263827968 has 264 divisors, whose sum is σ = 103952588112. Its totient is φ = 9428729856.

The previous prime is 33263827963. The next prime is 33263827997. The reversal of 33263827968 is 86972836233.

It is a happy number.

It is a super-2 number, since 2×33263827968² (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 (33263827963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20621530 + ... + 20623142.

Almost surely, 2^33263827968 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 33263827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51976294056).

33263827968 is an abundant number, since it is smaller than the sum of its proper divisors (70688760144).

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

33263827968 is a wasteful number, since it uses less digits than its factorization.

33263827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1762 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 33263827968 in words is "thirty-three billion, two hundred sixty-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".