12342576960 has 448 divisors, whose sum is σ = 50343206400. Its totient is φ = 2788245504.

The previous prime is 12342576949. The next prime is 12342576991. The reversal of 12342576960 is 6967524321.

12342576960 is a `hidden beast` number, since 12 + 3 + 4 + 2 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 5381574 + ... + 5383866.

Almost surely, 2^12342576960 is an apocalyptic number.

12342576960 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 12342576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25171603200).

12342576960 is an abundant number, since it is smaller than the sum of its proper divisors (38000629440).

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

12342576960 is a wasteful number, since it uses less digits than its factorization.

12342576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12342576960 in words is "twelve billion, three hundred forty-two million, five hundred seventy-six thousand, nine hundred sixty".