32253504660 has 432 divisors, whose sum is σ = 114645113856. Its totient is φ = 7307808768.

The previous prime is 32253504649. The next prime is 32253504667. The reversal of 32253504660 is 6640535223.

32253504660 is a `hidden beast` number, since 3 + 22 + 535 + 0 + 46 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32253504667) 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 143 ways as a sum of consecutive naturals, for example, 24304917 + ... + 24306243.

It is an arithmetic number, because the mean of its divisors is an integer number (265382208).

Almost surely, 2^32253504660 is an apocalyptic number.

32253504660 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 32253504660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57322556928).

32253504660 is an abundant number, since it is smaller than the sum of its proper divisors (82391609196).

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

32253504660 is a wasteful number, since it uses less digits than its factorization.

32253504660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 32253504660 in words is "thirty-two billion, two hundred fifty-three million, five hundred four thousand, six hundred sixty".