12626067456 has 320 divisors, whose sum is σ = 38823982560. Its totient is φ = 4087480320.

The previous prime is 12626067427. The next prime is 12626067463. The reversal of 12626067456 is 65476062621.

12626067456 is a `hidden beast` number, since 12 + 626 + 0 + 6 + 7 + 4 + 5 + 6 = 666.

It is a super-3 number, since 3×12626067456³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177831901 + ... + 177831971.

Almost surely, 2^12626067456 is an apocalyptic number.

12626067456 is a gapful number since it is divisible by the number (16) 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 12626067456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411991280).

12626067456 is an abundant number, since it is smaller than the sum of its proper divisors (26197915104).

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

12626067456 is an frugal number, since it uses more digits than its factorization.

12626067456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12626067456 in words is "twelve billion, six hundred twenty-six million, sixty-seven thousand, four hundred fifty-six".