1267904821680 has 640 divisors, whose sum is σ = 5435009280000. Its totient is φ = 265084710912.

The previous prime is 1267904821663. The next prime is 1267904821693. The reversal of 1267904821680 is 861284097621.

It is a happy number.

1267904821680 is a `hidden beast` number, since 1 + 2 + 6 + 79 + 0 + 482 + 16 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8255026 + ... + 8407214.

It is an arithmetic number, because the mean of its divisors is an integer number (8492202000).

Almost surely, 2^{1267904821680} is an apocalyptic number.

1267904821680 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 1267904821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717504640000).

1267904821680 is an abundant number, since it is smaller than the sum of its proper divisors (4167104458320).

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

1267904821680 is a wasteful number, since it uses less digits than its factorization.

1267904821680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152266 (or 152254 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1267904821680 in words is "one trillion, two hundred sixty-seven billion, nine hundred four million, eight hundred twenty-one thousand, six hundred eighty".