33680077440 has 64 divisors (see below), whose sum is σ = 107355252960. Its totient is φ = 8981353472.

The previous prime is 33680077411. The next prime is 33680077447. The reversal of 33680077440 is 4477008633.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33680077440² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33680077392 and 33680077401.

It is not an unprimeable number, because it can be changed into a prime (33680077447) 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 7 ways as a sum of consecutive naturals, for example, 8768934 + ... + 8772773.

Almost surely, 2^33680077440 is an apocalyptic number.

33680077440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33680077440 is an abundant number, since it is smaller than the sum of its proper divisors (73675175520).

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

33680077440 is a wasteful number, since it uses less digits than its factorization.

33680077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17541729 (or 17541717 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 33680077440 in words is "thirty-three billion, six hundred eighty million, seventy-seven thousand, four hundred forty".