33042468672 has 280 divisors, whose sum is σ = 100821780576. Its totient is φ = 10694218752.

The previous prime is 33042468671. The next prime is 33042468707. The reversal of 33042468672 is 27686424033.

33042468672 is a `hidden beast` number, since 330 + 4 + 246 + 8 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33042468671) 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 39 ways as a sum of consecutive naturals, for example, 50600698 + ... + 50601350.

Almost surely, 2^33042468672 is an apocalyptic number.

33042468672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50410890288).

33042468672 is an abundant number, since it is smaller than the sum of its proper divisors (67779311904).

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

33042468672 is a wasteful number, since it uses less digits than its factorization.

33042468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 3304 and 2468672, that added together give a triangular number (2471976 = T₂₂₂₃).

The spelling of 33042468672 in words is "thirty-three billion, forty-two million, four hundred sixty-eight thousand, six hundred seventy-two".