33272628480 has 864 divisors, whose sum is σ = 150100763904. Its totient is φ = 6603669504.

The previous prime is 33272628469. The next prime is 33272628481. The reversal of 33272628480 is 8482627233.

It is a super-2 number, since 2×33272628480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33272628481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17820507 + ... + 17822373.

It is an arithmetic number, because the mean of its divisors is an integer number (173727736).

Almost surely, 2^33272628480 is an apocalyptic number.

33272628480 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 33272628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75050381952).

33272628480 is an abundant number, since it is smaller than the sum of its proper divisors (116828135424).

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

33272628480 is a wasteful number, since it uses less digits than its factorization.

33272628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 33272628480 in words is "thirty-three billion, two hundred seventy-two million, six hundred twenty-eight thousand, four hundred eighty".