32880556800 has 2160 divisors, whose sum is σ = 162295987392. Its totient is φ = 6370099200.

The previous prime is 32880556777. The next prime is 32880556811. The reversal of 32880556800 is 865508823.

It is a happy number.

32880556800 is a `hidden beast` number, since 3 + 2 + 8 + 80 + 5 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×32880556800² (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 an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 801964780 + ... + 801964820.

Almost surely, 2^32880556800 is an apocalyptic number.

32880556800 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 32880556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81147993696).

32880556800 is an abundant number, since it is smaller than the sum of its proper divisors (129415430592).

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

32880556800 is a wasteful number, since it uses less digits than its factorization.

32880556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 32880556800 in words is "thirty-two billion, eight hundred eighty million, five hundred fifty-six thousand, eight hundred".