32880900480 has 256 divisors, whose sum is σ = 106641489600. Its totient is φ = 8616148992.

The previous prime is 32880900473. The next prime is 32880900491. The reversal of 32880900480 is 8400908823.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 32979342 + ... + 32980338.

Almost surely, 2^32880900480 is an apocalyptic number.

32880900480 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 32880900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53320744800).

32880900480 is an abundant number, since it is smaller than the sum of its proper divisors (73760589120).

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

32880900480 is a wasteful number, since it uses less digits than its factorization.

32880900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 32880900480 in words is "thirty-two billion, eight hundred eighty million, nine hundred thousand, four hundred eighty".