33272394418560 has 1024 divisors, whose sum is σ = 127686727434240. Its totient is φ = 7275095654400.

The previous prime is 33272394418537. The next prime is 33272394418561. The reversal of 33272394418560 is 6581449327233.

It is a super-2 number, since 2×33272394418560² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33272394418560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33272394418561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1146400209 + ... + 1146429231.

It is an arithmetic number, because the mean of its divisors is an integer number (124694069760).

It is a 1-persistent number, because it is pandigital, but 2⋅33272394418560 = 66544788837120 is not.

Almost surely, 2^{33272394418560} is an apocalyptic number.

33272394418560 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 33272394418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63843363717120).

33272394418560 is an abundant number, since it is smaller than the sum of its proper divisors (94414333015680).

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

33272394418560 is a wasteful number, since it uses less digits than its factorization.

33272394418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29207 (or 29195 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 33272394418560 in words is "thirty-three trillion, two hundred seventy-two billion, three hundred ninety-four million, four hundred eighteen thousand, five hundred sixty".