32674828032 has 864 divisors, whose sum is σ = 126474216960. Its totient is φ = 8082063360.

The previous prime is 32674828027. The next prime is 32674828037. The reversal of 32674828032 is 23082847623.

32674828032 is a `hidden beast` number, since 3 + 2 + 67 + 482 + 80 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (32674828027) and next prime (32674828037).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32674828037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447600348 + ... + 447600420.

Almost surely, 2^32674828032 is an apocalyptic number.

32674828032 is a gapful number since it is divisible by the number (32) 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 32674828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63237108480).

32674828032 is an abundant number, since it is smaller than the sum of its proper divisors (93799388928).

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

32674828032 is a wasteful number, since it uses less digits than its factorization.

32674828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 32674828032 in words is "thirty-two billion, six hundred seventy-four million, eight hundred twenty-eight thousand, thirty-two".