33684140640 has 48 divisors (see below), whose sum is σ = 106105044528. Its totient is φ = 8982437376.

The previous prime is 33684140627. The next prime is 33684140641. The reversal of 33684140640 is 4604148633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×33684140640³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33684140641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35087167 + ... + 35088126.

It is an arithmetic number, because the mean of its divisors is an integer number (2210521761).

Almost surely, 2^33684140640 is an apocalyptic number.

33684140640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33684140640 is an abundant number, since it is smaller than the sum of its proper divisors (72420903888).

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

33684140640 is a wasteful number, since it uses less digits than its factorization.

33684140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70175311 (or 70175303 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 33684140640 in words is "thirty-three billion, six hundred eighty-four million, one hundred forty thousand, six hundred forty".