32788080000 has 960 divisors, whose sum is σ = 132226174080. Its totient is φ = 7741440000.

The previous prime is 32788079921. The next prime is 32788080023. The reversal of 32788080000 is 8088723.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 290159944 + ... + 290160056.

It is an arithmetic number, because the mean of its divisors is an integer number (137735598).

Almost surely, 2^32788080000 is an apocalyptic number.

32788080000 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 32788080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66113087040).

32788080000 is an abundant number, since it is smaller than the sum of its proper divisors (99438094080).

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

32788080000 is a wasteful number, since it uses less digits than its factorization.

32788080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 32788080000 in words is "thirty-two billion, seven hundred eighty-eight million, eighty thousand".