32648624640 has 480 divisors, whose sum is σ = 121113248256. Its totient is φ = 8420474880.

The previous prime is 32648624581. The next prime is 32648624641. The reversal of 32648624640 is 4642684623.

32648624640 is a `hidden beast` number, since 326 + 4 + 86 + 246 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32648624641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19283634 + ... + 19285326.

Almost surely, 2^32648624640 is an apocalyptic number.

32648624640 is a gapful number since it is divisible by the number (30) 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 32648624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60556624128).

32648624640 is an abundant number, since it is smaller than the sum of its proper divisors (88464623616).

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

32648624640 is an equidigital number, since it uses as much as digits as its factorization.

32648624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 32648624640 in words is "thirty-two billion, six hundred forty-eight million, six hundred twenty-four thousand, six hundred forty".