33004164004672 has 56 divisors (see below), whose sum is σ = 74922039355520. Its totient is φ = 14130787806720.

The previous prime is 33004164004633. The next prime is 33004164004699. The reversal of 33004164004672 is 27640046140033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 35619972 + ... + 36534787.

It is an arithmetic number, because the mean of its divisors is an integer number (1337893559920).

Almost surely, 2^{33004164004672} is an apocalyptic number.

33004164004672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33004164004672 is an abundant number, since it is smaller than the sum of its proper divisors (41917875350848).

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

33004164004672 is a wasteful number, since it uses less digits than its factorization.

33004164004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72155799 (or 72155789 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 33004164004672 in words is "thirty-three trillion, four billion, one hundred sixty-four million, four thousand, six hundred seventy-two".