32830116480 has 768 divisors, whose sum is σ = 137135980800. Its totient is φ = 7349501952.

The previous prime is 32830116469. The next prime is 32830116481. The reversal of 32830116480 is 8461103823.

32830116480 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 0 + 1 + 1 + 648 + 0 = 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 (32830116481) 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, 57697636 + ... + 57698204.

It is an arithmetic number, because the mean of its divisors is an integer number (178562475).

Almost surely, 2^32830116480 is an apocalyptic number.

32830116480 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 32830116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567990400).

32830116480 is an abundant number, since it is smaller than the sum of its proper divisors (104305864320).

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

32830116480 is an equidigital number, since it uses as much as digits as its factorization.

32830116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32830116480 in words is "thirty-two billion, eight hundred thirty million, one hundred sixteen thousand, four hundred eighty".