32779420128 has 1152 divisors, whose sum is σ = 130767436800. Its totient is φ = 7543259136.

The previous prime is 32779420097. The next prime is 32779420129. The reversal of 32779420128 is 82102497723.

32779420128 is a `hidden beast` number, since 32 + 7 + 79 + 420 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32779420129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 555583363 + ... + 555583421.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^32779420128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32779420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65383718400).

32779420128 is an abundant number, since it is smaller than the sum of its proper divisors (97988016672).

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

32779420128 is a wasteful number, since it uses less digits than its factorization.

32779420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 32779420128 in words is "thirty-two billion, seven hundred seventy-nine million, four hundred twenty thousand, one hundred twenty-eight".