32794882864128 has 2112 divisors, whose sum is σ = 126900595261440. Its totient is φ = 8212650393600.

The previous prime is 32794882864123. The next prime is 32794882864217. The reversal of 32794882864128 is 82146828849723.

32794882864128 is a `hidden beast` number, since 3 + 2 + 7 + 9 + 488 + 2 + 86 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32794882864123) 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, 85626325825 + ... + 85626326207.

It is an arithmetic number, because the mean of its divisors is an integer number (60085509120).

Almost surely, 2^{32794882864128} 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 32794882864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63450297630720).

32794882864128 is an abundant number, since it is smaller than the sum of its proper divisors (94105712397312).

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

32794882864128 is a wasteful number, since it uses less digits than its factorization.

32794882864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 556 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 32794882864128 in words is "thirty-two trillion, seven hundred ninety-four billion, eight hundred eighty-two million, eight hundred sixty-four thousand, one hundred twenty-eight".