32825769984 has 192 divisors, whose sum is σ = 108382307280. Its totient is φ = 9378201600.

The previous prime is 32825769983. The next prime is 32825770031. The reversal of 32825769984 is 48996752823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32825769983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2056434 + ... + 2072334.

Almost surely, 2^32825769984 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 32825769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54191153640).

32825769984 is an abundant number, since it is smaller than the sum of its proper divisors (75556537296).

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

32825769984 is an equidigital number, since it uses as much as digits as its factorization.

32825769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15944 (or 15913 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 32825769984 in words is "thirty-two billion, eight hundred twenty-five million, seven hundred sixty-nine thousand, nine hundred eighty-four".