33955680480 has 48 divisors (see below), whose sum is σ = 106960395024. Its totient is φ = 9054848000.

The previous prime is 33955680431. The next prime is 33955680497. The reversal of 33955680480 is 8408655933.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 35370021 + ... + 35370980.

It is an arithmetic number, because the mean of its divisors is an integer number (2228341563).

Almost surely, 2^33955680480 is an apocalyptic number.

33955680480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33955680480 is an abundant number, since it is smaller than the sum of its proper divisors (73004714544).

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

33955680480 is a wasteful number, since it uses less digits than its factorization.

33955680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70741019 (or 70741011 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 33955680480 in words is "thirty-three billion, nine hundred fifty-five million, six hundred eighty thousand, four hundred eighty".