12973646880 has 720 divisors, whose sum is σ = 50187392640. Its totient is φ = 3153447936.

The previous prime is 12973646879. The next prime is 12973646893. The reversal of 12973646880 is 8864637921.

12973646880 is a `hidden beast` number, since 12 + 97 + 3 + 6 + 468 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 219892291 + ... + 219892349.

It is an arithmetic number, because the mean of its divisors is an integer number (69704712).

Almost surely, 2^12973646880 is an apocalyptic number.

12973646880 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 12973646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093696320).

12973646880 is an abundant number, since it is smaller than the sum of its proper divisors (37213745760).

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

12973646880 is a wasteful number, since it uses less digits than its factorization.

12973646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12973646880 in words is "twelve billion, nine hundred seventy-three million, six hundred forty-six thousand, eight hundred eighty".