32782750080 has 256 divisors, whose sum is σ = 110430259200. Its totient is φ = 8255250432.

The previous prime is 32782750073. The next prime is 32782750127. The reversal of 32782750080 is 8005728723.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3483942 + ... + 3493338.

It is an arithmetic number, because the mean of its divisors is an integer number (431368200).

Almost surely, 2^32782750080 is an apocalyptic number.

32782750080 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 32782750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55215129600).

32782750080 is an abundant number, since it is smaller than the sum of its proper divisors (77647509120).

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

32782750080 is a wasteful number, since it uses less digits than its factorization.

32782750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 32782750080 in words is "thirty-two billion, seven hundred eighty-two million, seven hundred fifty thousand, eighty".