32282394480 has 640 divisors, whose sum is σ = 131855370240. Its totient is φ = 7195474944.

The previous prime is 32282394451. The next prime is 32282394539. The reversal of 32282394480 is 8449328223.

32282394480 is a `hidden beast` number, since 3 + 2 + 2 + 82 + 3 + 94 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52662654 + ... + 52663266.

It is an arithmetic number, because the mean of its divisors is an integer number (206024016).

Almost surely, 2^32282394480 is an apocalyptic number.

32282394480 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 32282394480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65927685120).

32282394480 is an abundant number, since it is smaller than the sum of its proper divisors (99572975760).

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

32282394480 is an equidigital number, since it uses as much as digits as its factorization.

32282394480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 32282394480 in words is "thirty-two billion, two hundred eighty-two million, three hundred ninety-four thousand, four hundred eighty".