33253650640 has 80 divisors (see below), whose sum is σ = 88778782080. Its totient is φ = 11347176960.

The previous prime is 33253650613. The next prime is 33253650643. The reversal of 33253650640 is 4605635233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33253650640² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33253650640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33253650643) 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 15 ways as a sum of consecutive naturals, for example, 22555 + ... + 258874.

It is an arithmetic number, because the mean of its divisors is an integer number (1109734776).

Almost surely, 2^33253650640 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 33253650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44389391040).

33253650640 is an abundant number, since it is smaller than the sum of its proper divisors (55525131440).

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

33253650640 is a wasteful number, since it uses less digits than its factorization.

33253650640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281660 (or 281654 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

The spelling of 33253650640 in words is "thirty-three billion, two hundred fifty-three million, six hundred fifty thousand, six hundred forty".