32261982480 has 560 divisors, whose sum is σ = 138437806080. Its totient is φ = 6805804032.

The previous prime is 32261982479. The next prime is 32261982491. The reversal of 32261982480 is 8428916223.

32261982480 is a `hidden beast` number, since 3 + 2 + 2 + 619 + 8 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5304081 + ... + 5310159.

It is an arithmetic number, because the mean of its divisors is an integer number (247210368).

Almost surely, 2^32261982480 is an apocalyptic number.

32261982480 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 32261982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69218903040).

32261982480 is an abundant number, since it is smaller than the sum of its proper divisors (106175823600).

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

32261982480 is a wasteful number, since it uses less digits than its factorization.

32261982480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 32261982480 in words is "thirty-two billion, two hundred sixty-one million, nine hundred eighty-two thousand, four hundred eighty".