12564240480 has 480 divisors, whose sum is σ = 49950286848. Its totient is φ = 2946585600.

The previous prime is 12564240463. The next prime is 12564240487. The reversal of 12564240480 is 8404246521.

12564240480 is a `hidden beast` number, since 1 + 2 + 5 + 642 + 4 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (12564240487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4417939 + ... + 4420781.

Almost surely, 2^12564240480 is an apocalyptic number.

12564240480 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 12564240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24975143424).

12564240480 is an abundant number, since it is smaller than the sum of its proper divisors (37386046368).

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

12564240480 is a wasteful number, since it uses less digits than its factorization.

12564240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12564240480 in words is "twelve billion, five hundred sixty-four million, two hundred forty thousand, four hundred eighty".