1267866766080 has 432 divisors, whose sum is σ = 4485880788480. Its totient is φ = 330471677952.

The previous prime is 1267866766013. The next prime is 1267866766087. The reversal of 1267866766080 is 806676687621.

1267866766080 is a `hidden beast` number, since 12 + 6 + 7 + 8 + 6 + 6 + 7 + 6 + 608 + 0 = 666.

It is a super-2 number, since 2×1267866766080² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1267866765999 and 1267866766017.

It is not an unprimeable number, because it can be changed into a prime (1267866766087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802954731 + ... + 802956309.

Almost surely, 2^{1267866766080} is an apocalyptic number.

1267866766080 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 1267866766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242940394240).

1267866766080 is an abundant number, since it is smaller than the sum of its proper divisors (3218014022400).

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

1267866766080 is a wasteful number, since it uses less digits than its factorization.

1267866766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1267866766080 in words is "one trillion, two hundred sixty-seven billion, eight hundred sixty-six million, seven hundred sixty-six thousand, eighty".