33982565680 has 80 divisors (see below), whose sum is σ = 90337075200. Its totient is φ = 11645934336.

The previous prime is 33982565671. The next prime is 33982565689. The reversal of 33982565680 is 8656528933.

It is an interprime number because it is at equal distance from previous prime (33982565671) and next prime (33982565689).

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

It is not an unprimeable number, because it can be changed into a prime (33982565689) 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, 1357921 + ... + 1382719.

It is an arithmetic number, because the mean of its divisors is an integer number (1129213440).

Almost surely, 2^33982565680 is an apocalyptic number.

It is an amenable number.

33982565680 is an abundant number, since it is smaller than the sum of its proper divisors (56354509520).

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

33982565680 is a wasteful number, since it uses less digits than its factorization.

33982565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27266 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 33982565680 in words is "thirty-three billion, nine hundred eighty-two million, five hundred sixty-five thousand, six hundred eighty".