32672959488 has 528 divisors, whose sum is σ = 108153916416. Its totient is φ = 9423912960.

The previous prime is 32672959433. The next prime is 32672959489. The reversal of 32672959488 is 88495927623.

32672959488 is a `hidden beast` number, since 3 + 2 + 67 + 2 + 95 + 9 + 488 = 666.

It is not an unprimeable number, because it can be changed into a prime (32672959489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195646381 + ... + 195646547.

Almost surely, 2^32672959488 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 32672959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54076958208).

32672959488 is an abundant number, since it is smaller than the sum of its proper divisors (75480956928).

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

32672959488 is a wasteful number, since it uses less digits than its factorization.

32672959488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

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

The spelling of 32672959488 in words is "thirty-two billion, six hundred seventy-two million, nine hundred fifty-nine thousand, four hundred eighty-eight".