32007998880 has 1344 divisors, whose sum is σ = 141596138880. Its totient is φ = 6718464000.

The previous prime is 32007998879. The next prime is 32007998923. The reversal of 32007998880 is 8889970023.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 223 ways as a sum of consecutive naturals, for example, 316910830 + ... + 316910930.

It is an arithmetic number, because the mean of its divisors is an integer number (105354270).

Almost surely, 2^32007998880 is an apocalyptic number.

32007998880 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 32007998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70798069440).

32007998880 is an abundant number, since it is smaller than the sum of its proper divisors (109588140000).

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

32007998880 is a wasteful number, since it uses less digits than its factorization.

32007998880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 32007998880 in words is "thirty-two billion, seven million, nine hundred ninety-eight thousand, eight hundred eighty".