12704532480 has 720 divisors, whose sum is σ = 49285896660. Its totient is φ = 3128426496.

The previous prime is 12704532431. The next prime is 12704532509. The reversal of 12704532480 is 8423540721.

It is a happy number.

12704532480 is a `hidden beast` number, since 12 + 70 + 4 + 532 + 48 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10335568896 + 2368963584 = 101664^2 + 48672^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12704532480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 239708134 + ... + 239708186.

Almost surely, 2^12704532480 is an apocalyptic number.

12704532480 is a gapful number since it is divisible by the number (10) 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 12704532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24642948330).

12704532480 is an abundant number, since it is smaller than the sum of its proper divisors (36581364180).

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

12704532480 is an equidigital number, since it uses as much as digits as its factorization.

12704532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12704532480 in words is "twelve billion, seven hundred four million, five hundred thirty-two thousand, four hundred eighty".