12766740480 has 680 divisors, whose sum is σ = 50623814472. Its totient is φ = 3057647616.

The previous prime is 12766740473. The next prime is 12766740491. The reversal of 12766740480 is 8404766721.

12766740480 is a `hidden beast` number, since 1 + 2 + 76 + 67 + 40 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1534132224 + 11232608256 = 39168^2 + 105984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345047022 + ... + 345047058.

Almost surely, 2^12766740480 is an apocalyptic number.

12766740480 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 12766740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25311907236).

12766740480 is an abundant number, since it is smaller than the sum of its proper divisors (37857073992).

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

12766740480 is an frugal number, since it uses more digits than its factorization.

12766740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 12766740480 its product of nonzero digits (451584), we get a square (12767192064 = 112992²).

The spelling of 12766740480 in words is "twelve billion, seven hundred sixty-six million, seven hundred forty thousand, four hundred eighty".