12967879680 has 528 divisors, whose sum is σ = 53290124160. Its totient is φ = 2962096128.

The previous prime is 12967879679. The next prime is 12967879699. The reversal of 12967879680 is 8697876921.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708376 + ... + 8709864.

Almost surely, 2^12967879680 is an apocalyptic number.

12967879680 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 12967879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645062080).

12967879680 is an abundant number, since it is smaller than the sum of its proper divisors (40322244480).

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

12967879680 is an equidigital number, since it uses as much as digits as its factorization.

12967879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 12967879680 in words is "twelve billion, nine hundred sixty-seven million, eight hundred seventy-nine thousand, six hundred eighty".