33164328960 has 1152 divisors, whose sum is σ = 146849779440. Its totient is φ = 7134511104.

The previous prime is 33164328959. The next prime is 33164328971. The reversal of 33164328960 is 6982346133.

33164328960 is a `hidden beast` number, since 3 + 316 + 4 + 328 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1950842872 + ... + 1950842888.

Almost surely, 2^33164328960 is an apocalyptic number.

33164328960 is a gapful number since it is divisible by the number (30) 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 33164328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73424889720).

33164328960 is an abundant number, since it is smaller than the sum of its proper divisors (113685450480).

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

33164328960 is an frugal number, since it uses more digits than its factorization.

33164328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 33164328960 in words is "thirty-three billion, one hundred sixty-four million, three hundred twenty-eight thousand, nine hundred sixty".