33218640000 has 1280 divisors, whose sum is σ = 151676448000. Its totient is φ = 7008768000.

The previous prime is 33218639981. The next prime is 33218640001. The reversal of 33218640000 is 4681233.

It is a happy number.

33218640000 is a `hidden beast` number, since 3 + 3 + 2 + 18 + 640 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×33218640000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33218640001) 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 159 ways as a sum of consecutive naturals, for example, 2555279994 + ... + 2555280006.

It is an arithmetic number, because the mean of its divisors is an integer number (118497225).

Almost surely, 2^33218640000 is an apocalyptic number.

33218640000 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 33218640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75838224000).

33218640000 is an abundant number, since it is smaller than the sum of its proper divisors (118457808000).

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

33218640000 is an frugal number, since it uses more digits than its factorization.

33218640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 33218640000 in words is "thirty-three billion, two hundred eighteen million, six hundred forty thousand".