32480585280 has 1344 divisors, whose sum is σ = 143148515328. Its totient is φ = 6897623040.

The previous prime is 32480585279. The next prime is 32480585281. The reversal of 32480585280 is 8258508423.

32480585280 is a `hidden beast` number, since 3 + 2 + 48 + 0 + 585 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32480585279) and next prime (32480585281).

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 (32480585281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255752577 + ... + 255752703.

It is an arithmetic number, because the mean of its divisors is an integer number (106509312).

Almost surely, 2^32480585280 is an apocalyptic number.

32480585280 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 32480585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71574257664).

32480585280 is an abundant number, since it is smaller than the sum of its proper divisors (110667930048).

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

32480585280 is a wasteful number, since it uses less digits than its factorization.

32480585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 32480585280 in words is "thirty-two billion, four hundred eighty million, five hundred eighty-five thousand, two hundred eighty".