32880900672 has 224 divisors, whose sum is σ = 98106341760. Its totient is φ = 10797926400.

The previous prime is 32880900649. The next prime is 32880900779. The reversal of 32880900672 is 27600908823.

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, 51136383 + ... + 51137025.

It is an arithmetic number, because the mean of its divisors is an integer number (437974740).

Almost surely, 2^32880900672 is an apocalyptic number.

32880900672 is a gapful number since it is divisible by the number (32) 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 32880900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49053170880).

32880900672 is an abundant number, since it is smaller than the sum of its proper divisors (65225441088).

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

32880900672 is a wasteful number, since it uses less digits than its factorization.

32880900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 32880900672 in words is "thirty-two billion, eight hundred eighty million, nine hundred thousand, six hundred seventy-two".