12467568960 has 1008 divisors, whose sum is σ = 56915913600. Its totient is φ = 2445189120.

The previous prime is 12467568947. The next prime is 12467568989. The reversal of 12467568960 is 6986576421.

12467568960 is a `hidden beast` number, since 12 + 4 + 6 + 7 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 12467568897 and 12467568906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46347706 + ... + 46347974.

It is an arithmetic number, because the mean of its divisors is an integer number (56464200).

Almost surely, 2^12467568960 is an apocalyptic number.

12467568960 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 12467568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28457956800).

12467568960 is an abundant number, since it is smaller than the sum of its proper divisors (44448344640).

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

12467568960 is a wasteful number, since it uses less digits than its factorization.

12467568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12467568960 in words is "twelve billion, four hundred sixty-seven million, five hundred sixty-eight thousand, nine hundred sixty".